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理工学術院 大学院基幹理工学研究科
2022/05/20 更新
理工学術院 大学院基幹理工学研究科
理工学術院総合研究所 兼任研究員
早稲田大学 理工学研究科 数学
早稲田大学 理工学研究科 数学
早稲田大学 理工学部 数学
早稲田大学 理学博士
Waseda University Doctor of Science
早稲田大学 理学修士
Waseda Univeristy Master of Science
早稲田大学 教授
早稲田大学 助教授
名古屋大学 助教授
名古屋大学 助教授
名古屋大学 講師
名古屋大学 助手
日本数学会
数理解析学
変分法、変分問題、ハミルトン系、非線型楕円型方程式
Symmetric ground states for doubly nonlocal equations with mass constraint
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
Symmetry 13 ( 7 ) 2021年07月
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation
S. Cingolani, M. Gallo, K. Tanaka
Nonlinearity 34 ( 6 ) 4017 - 4056 2021年06月
Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass
Silvia Cingolani, Kazunaga Tanaka
Springer INdAM Series 47 23 - 41 2021年
Nonlinear Scalar Field Equations with L 2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches
Jun Hirata, Kazunaga Tanaka
Advanced Nonlinear Studies 19 ( 2 ) 263 - 290 2019年05月
Semi-classical states for the nonlinear Choquard equations: Existence, multiplicity and concentration at a potential well
Silvia Cingolani, Kazunaga Tanaka
Revista Matematica Iberoamericana 35 ( 6 ) 1885 - 1924 2019年
Multi-bump solutions for logarithmic Schrödinger equations
Kazunaga Tanaka, Chengxiang Zhang
Calculus of Variations and Partial Differential Equations 56 ( 2 ) 2017年04月 [査読有り]
Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations
Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka
Journal of Fixed Point Theory and Applications 19 ( 1 ) 37 - 66 2017年03月
Remarks on the clark theorem
Guosheng Jiang, Kazunaga Tanaka, Chengxiang Zhang
Journal of Nonlinear and Convex Analysis 18 ( 8 ) 1421 - 1434 2017年
Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well
Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka
Calculus of Variations and Partial Differential Equations 53 ( 1-2 ) 413 - 439 2015年05月
Continuum of solutions for an elliptic problem with critical growth in the gradient
David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka
Journal of Functional Analysis 268 ( 8 ) 2298 - 2335 2015年04月
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka
Journal of Mathematical Analysis and Applications 420 ( 1 ) 772 - 780 2014年12月 [査読有り]
Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains
Jaeyoung Byeon, Kazunaga Tanaka
Calculus of Variations and Partial Differential Equations 50 ( 1-2 ) 365 - 397 2014年05月 [査読有り]
On a system of nonlinear Schrodinger equations with quadratic interaction
Nakao Hayashi, Tohru Ozawa, Kazunaga Tanaka
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 30 ( 4 ) 661 - 690 2013年07月 [査読有り]
High energy rotation type solutions of the forced pendulum equation
Patricio Felmer, André De Laire, Salomé Martínez, Kazunaga Tanaka
Nonlinearity 26 ( 5 ) 1473 - 1499 2013年05月
Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential
Jaeyoung Byeon, Kazunaga Tanaka
Journal of the European Mathematical Society 15 ( 5 ) 1859 - 1899 2013年
Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti
Jaeyoung Byeon, Kazunaga Tanaka
Advanced Nonlinear Studies 12 ( 4 ) 749 - 765 2012年
A local mountain pass type result for a system of nonlinear Schrödinger equations
Norihisa Ikoma, Kazunaga Tanaka
Calculus of Variations and Partial Differential Equations 40 ( 3 ) 449 - 480 2011年
Nonlinear scalar field equations in ℝN: Mountain pass and symmetric mountain pass approaches
Jun Hirata, Norihisa Ikoma, Kazunaga Tanaka
Topological Methods in Nonlinear Analysis 35 ( 2 ) 253 - 276 2010年
Sign-Changing multi-bump solutions for nonlinear schrödinger equations with steep potential wells
Yohei Sato, Kazunaga Tanaka
Transactions of the American Mathematical Society 361 ( 12 ) 6205 - 6253 2009年12月 [査読有り]
Uniqueness of radially symmetric positive solutions for - Δ u + u = up in an annulus
Patricio Felmer, Salomé Martínez, Kazunaga Tanaka
Journal of Differential Equations 245 ( 5 ) 1198 - 1209 2008年09月
Highly oscillatory behavior of the activator in the Gierer and Meinhardt system
Patricio Felmer, Salomé Martínez, Kazunaga Tanaka
Mathematische Annalen 340 ( 4 ) 749 - 773 2008年04月
The fixed energy problem for a class of nonconvex singular Hamiltonian systems
C. Carminati, É Séré, K. Tanaka
Journal of Differential Equations 230 ( 1 ) 362 - 377 2006年11月
High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation
Patricio Felmer, Salomé Martínez, Kazunaga Tanaka
Archive for Rational Mechanics and Analysis 182 ( 2 ) 333 - 366 2006年10月
On the number of positive solutions of singularly perturbed ID nonlinear Schrödinger equations
Patricio Felmer, Salomé Martínez, Kazunaga Tanaka
Journal of the European Mathematical Society 8 ( 2 ) 253 - 268 2006年 [査読有り]
Multiple stable patterns for some reaction-diffusion equation in disrupted environments
Takanori Ide, Kazuhiro Kurata, Kazunaga Tanaka
Discrete and Continuous Dynamical Systems 14 ( 1 ) 93 - 116 2006年01月 [査読有り]
Multiple stable patterns for some reaction-diffusion equation in disrupted environments
T Ide, K Kurata, K Tanaka
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14 ( 1 ) 93 - 116 2006年01月
A remark on periodic solutions of singular Hamiltonian systems
Shinji Adachi, Kazunaga Tanaka, Masahito Terui
Nonlinear Differential Equations and Applications 12 ( 3 ) 265 - 274 2005年12月 [査読有り]
A remark on periodic solutions of singular Hamiltonian systems
S Adachi, K Tanaka, M Terui
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 12 ( 3 ) 265 - 274 2005年12月 [査読有り]
A positive solution for a nonlinear schrödinger equation on ℝN
Louis Jeanjean, Kazunaga Tanaka
Indiana University Mathematics Journal 54 ( 2 ) 443 - 464 2005年 [査読有り]
Multi-clustered high-energy solutions for a phase transition problem
PL Felmer, S Martinez, K Tanaka
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 135 731 - 765 2005年
Multi-clustered high-energy solutions for a phase transition problem
Patricio L. Felmer, Salomé Martínez, Kazunaga Tanaka
Royal Society of Edinburgh - Proceedings A 135 ( 4 ) 731 - 765 2005年 [査読有り]
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
L Jeanjean, K Tanaka
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 21 ( 3 ) 287 - 318 2004年11月
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
Louis Jeanjean, Kazunaga Tanaka
Calculus of Variations and Partial Differential Equations 21 ( 3 ) 287 - 318 2004年11月 [査読有り]
A note on a mountain pass characterization of least energy solutions
Louis Jeanjean, Kazunaga Tanaka
Advanced Nonlinear Studies 3 ( 4 ) 445 - 455 2003年11月
A note on a mountain pass characterization of least energy solutions
L Jeanjean, K Tanaka
ADVANCED NONLINEAR STUDIES 3 ( 4 ) 445 - 455 2003年11月 [査読有り]
Multiplicity of positive solutions of a nonlinear Schrodinger equation
YH Ding, K Tanaka
MANUSCRIPTA MATHEMATICA 112 ( 1 ) 109 - 135 2003年09月 [査読有り]
Multiplicity of positive solutions of a nonlinear Schrodinger equation
YH Ding, K Tanaka
MANUSCRIPTA MATHEMATICA 112 ( 1 ) 109 - 135 2003年09月 [査読有り]
A remark on least energy solutions in RN
Louis Jeanjean, Kazunaga Tanaka
Proceedings of the American Mathematical Society 131 ( 8 ) 2399 - 2408 2003年08月 [査読有り]
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
K Nakashima, K Tanaka
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 20 ( 1 ) 107 - 143 2003年 [査読有り]
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Kimie Nakashima, Kazunaga Tanaka
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire 20 ( 1 ) 107 - 143 2003年
A remark on least energy solutions in R-N
L Jeanjean, K Tanaka
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131 ( 8 ) 2399 - 2408 2003年 [査読有り]
An elementary construction of complex patterns in nonlinear schrödinger equations
Manuel Del Pino, Patrido Felmer, Kazunaga Tanaka
Nonlinearity 15 ( 5 ) 1653 - 1671 2002年09月
A positive solution for an asymptotically linear elliptic problem on ℝn autonomous at infinity
Louis Jeanjean, Kazunaga Tanaka
ESAIM - Control, Optimisation and Calculus of Variations 7 ( 24 ) 597 - 614 2002年08月 [査読有り]
Existence of positive solutions for a class of nonhomogeneous elliptic equations in RN
Shinji Adachi, Kazunaga Tanaka
Nonlinear Analysis, Theory, Methods and Applications 48 ( 5 ) 685 - 705 2002年02月
Existence of positive solutions for a class of nonhomogeneous elliptic equations in R-N
S Adachi, K Tanaka
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 48 ( 5 ) 685 - 705 2002年02月 [査読有り]
A positive solution for an asymptotically linear elliptic problem on R-N autonomous at infinity
L Jeanjean, K Tanaka
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 7 ( 24 ) 597 - 614 2002年 [査読有り]
Multiple positive solutions for nonhomogeneous elliptic equations
S Adachi, K Tanaka
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 47 ( 6 ) 3783 - 3793 2001年08月 [査読有り]
Multiple positive solutions for nonhomogeneous elliptic equations
S Adachi, K Tanaka
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 47 ( 6 ) 3783 - 3793 2001年08月 [査読有り]
Four positive solutions for the semilinear elliptic equation: -Delta mu+mu=alpha(chi)mu(p)+f(chi) in R-N
S Adachi, K Tanaka
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 11 ( 1 ) 63 - 95 2000年08月 [査読有り]
Trudinger type inequalities in RN and their best exponents
Shinji Adachi, Kazunaga Tanaka
Proceedings of the American Mathematical Society 128 ( 7 ) 2051 - 2057 2000年 [査読有り]
Four positive solutions for the semilinear elliptic equation: - Δu + u = a(x)up + f(x) in ℝN
Shinji Adachi, Kazunaga Tanaka
Calculus of Variations and Partial Differential Equations 11 ( 1 ) 63 - 95 2000年
Scattering solutions for planar singular hamiltonian systems via minimization
P. Felmer, K. Tanaka
Adv. Diff. Eqn. 5 1519 - 1544 2000年
Hyperbolic-like solutions for singular Hamiltonian systems
Patricio Felmer, Kazunaga Tanaka
Nonlinear Differential Equations and Applications 7 ( 1 ) 43 - 65 2000年 [査読有り]
Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds,
K. Tanaka
Ann. Inst. H. Poincare Anal. Non Lineaire. 17 1 - 33 2000年
Trudinger type inequalities in R^N and their best exponents
S. Adachi, K. Tanaka
Proc. Amer. Math. Soc. 128 2051 - 2057 2000年
Scattering solutions for planar singular hamiltonian systems via minimization
P. Felmer, K. Tanaka
Adv. Diff. Eqn. 5 1519 - 1544 2000年
Hyperbolic-like solutions for singular Hamiltonian systems
P Felmer, K Tanaka
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 7 ( 1 ) 43 - 65 2000年 [査読有り]
Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds
K Tanaka
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 17 ( 1 ) 1 - 33 2000年01月 [査読有り]
Uniqueness of positive radial solutions of semilinear elliptic equations in R-N and Sere's non-degeneracy condition
Y Kabeya, K Tanaka
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 24 ( 3-4 ) 563 - 598 1999年 [査読有り]
Uniqueness of positive radial solutions of semilinear elliptic equations in R-N and Sere's non-degeneracy condition
Y Kabeya, K Tanaka
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 24 ( 3-4 ) 563 - 598 1999年 [査読有り]
On Keplerian N-body type problems,
A. Ambrosetti, K. Tanaka
in Nonlinear Analysis and continuum mechanics: Paper for the 65-thrbirthday of James Serrin (G. Buttazzo, G.P. Galdi, E. Lanconelli, P.rPucci ed.) Springer 15 - 25 1998年
On Keplerian N-body type problems,
A. Ambrosetti, K. Tanaka
in Nonlinear Analysis and continuum mechanics: Paper for the 65-th birthday of James Serrin (G. Buttazzo, G.P. Galdi, E. Lanconelli, P.Pucci ed.) Springer 15 - 25 1998年
Multiple Positive solutions for some nonlinear elliptic systems
K. Tanaka
Topological mathods in nonlinear Analysis 10 15 - 45 1997年
Multiple Positive solutions for some nonlinear elliptic systems
K. Tanaka
Topological mathods in nonlinear Analysis 10 15 - 45 1997年
Periodic solutions of first order singular Hamiltonian systems
K Tanaka
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 26 ( 4 ) 691 - 706 1996年02月
Periodic solutions of first order singnlar Hamiltonian systems
K. Tanaka
Nonlinear Analysis,Theory,Methods & Applications 26 791 - 706 1996年
A REMARK ON POSITIVE RADIAL SOLUTIONS OF THE ELLIPTIC EQUATION DELTA-U+K(VERTICAL-BAR-X-VERTICAL-BAR)U((N+2)/(N-2))=0 IN R(N)
Y SASAHARA, K TANAKA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 ( 2 ) 527 - 531 1995年02月
A REMARK ON POSITIVE RADIAL SOLUTIONS OF THE ELLIPTIC EQUATION DELTA-U+K(VERTICAL-BAR-X-VERTICAL-BAR)U((N+2)/(N-2))=0 IN R(N)
Y SASAHARA, K TANAKA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 ( 2 ) 527 - 531 1995年02月 [査読有り]
Homoclinic orbits on non-compact Riemannian manifolds for second order Hamiltonian systems
F. Gianonni, L. Jeanjean
Red.Sem.Mat.Univ.Padova 93 153 - 176 1995年
Homoclinic orbits on non-compact Riemannian manifolds for second order Hamiltonian systems
F. Gianonni, L. Jeanjean
Red.Sem.Mat.Univ.Padova 93 153 - 176 1995年
A NOTE ON GENERALIZED SOLUTIONS OF SINGULAR HAMILTONIAN-SYSTEMS
K TANAKA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 122 ( 1 ) 275 - 284 1994年09月 [査読有り]
A prescribed-energy problem for a conservative singular Hamiltonian system
Kazunaga Tanaka
Archive for Rational Mechanics and Analysis 128 ( 2 ) 127 - 164 1994年06月
A note on the existence of multiple homoclinic orbits for a perturbed radial potential
K. Tanaka
Nonlinear Differential Equations and Applications 1 149 - 162 1994年
A note on generalized solutions of singular hamiltonian systems
Kazunaga Tanaka
Proceedings of the American Mathematical Society 122 ( 1 ) 275 - 284 1994年
PERIODIC-SOLUTIONS WITH PRESCRIBED ENERGY FOR SOME KEPLERIAN N-BODY PROBLEMS
A AMBROSETTI, K TANAKA, E VITILLARO
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 11 ( 6 ) 613 - 632 1994年 [査読有り]
A PRESCRIBED-ENERGY PROBLEM FOR A CONSERVATIVE SINGULAR HAMILTONIAN SYSTEM
K TANAKA
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 128 ( 2 ) 127 - 164 1994年 [査読有り]
A note on the existence of multiple homoclinic orbits for a perturbed radial potential
K. Tanaka
Nonlinear Differential Equations and Applications 1 149 - 162 1994年
PERIODIC-SOLUTIONS WITH PRESCRIBED ENERGY FOR SOME KEPLERIAN N-BODY PROBLEMS
A AMBROSETTI, K TANAKA, E VITILLARO
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 11 ( 6 ) 613 - 632 1994年 [査読有り]
A PRESCRIBED ENERGY PROBLEM FOR A SINGULAR HAMILTONIAN SYSTEM WITH A WEAK FORCE
K TANAKA
JOURNAL OF FUNCTIONAL ANALYSIS 113 ( 2 ) 351 - 390 1993年05月 [査読有り]
NON-COLLISION SOLUTIONS FOR A 2ND-ORDER SINGULAR HAMILTONIAN SYSTEM WITH WEAK FORCE
K TANAKA
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 10 ( 2 ) 215 - 238 1993年 [査読有り]
Non-collision solutions for a second order singular Hamiltonian system with weak force
K. Tanaka
Annales de Institut Henri Poincare : Analyse non lineaire 10 215 - 238 1993年
A prescribed energy problem for a singular Hamiltonian system with a weak force
K. Tanaka
Journal of Functional Analysis 113 351 - 390 1993年
Multiple periodic solutions of a superlinear forced wave equation
Kazunaga Tanaka
Annali di Matematica Pura ed Applicata 162 ( 1 ) 43 - 76 1992年12月
MULTIPLE PERIODIC-SOLUTIONS OF A SUPERLINEAR FORCED WAVE-EQUATION
K TANAKA
ANNALI DI MATEMATICA PURA ED APPLICATA 162 43 - 76 1992年
HOMOCLINIC ORBITS IN A 1ST ORDER SUPERQUADRATIC HAMILTONIAN SYSTEM - CONVERGENCE OF SUBHARMONIC ORBITS
K TANAKA
JOURNAL OF DIFFERENTIAL EQUATIONS 94 ( 2 ) 315 - 339 1991年12月 [査読有り]
SOME RESULTS ON CONNECTING ORBITS FOR A CLASS OF HAMILTONIAN-SYSTEMS
PH RABINOWITZ, K TANAKA
MATHEMATISCHE ZEITSCHRIFT 206 ( 3 ) 473 - 499 1991年 [査読有り]
SOME RESULTS ON CONNECTING ORBITS FOR A CLASS OF HAMILTONIAN-SYSTEMS
PH RABINOWITZ, K TANAKA
MATHEMATISCHE ZEITSCHRIFT 206 ( 3 ) 473 - 499 1991年
Homoclinic orbits in a first order superquadratic hamiltonian system: Convergence of subharmonic orbits
Kazunaga Tanaka
Journal of Differential Equations 94 ( 2 ) 315 - 339 1991年
Existence of infinitely many solutions for some superlinear elliptic equations,
R. Kajikiya, K. Tanaka
Journal of Mathematical Analysis and Applications 共著 149 313 - 321 1990年
HOMOCLINIC ORBITS FOR A SINGULAR 2ND-ORDER HAMILTONIAN SYSTEM
K TANAKA
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 7 ( 5 ) 427 - 438 1990年
Existence of infinitely many solutions for some superlinear elliptic equations,
R. Kajikiya, K. Tanaka
Journal of Mathematical Analysis and Applications 共著 149 313 - 321 1990年
Homoclinic orbits for a singular second order hamiltonian system
K. Tanaka
Annales de i'institut henri Poincare Analyse non Iineaire 7 427 - 438 1990年
MORSE INDEXES AT CRITICAL-POINTS RELATED TO THE SYMMETRIC MOUNTAIN PASS THEOREM AND APPLICATIONS
K TANAKA
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 14 ( 1 ) 99 - 128 1989年 [査読有り]
Morse indices at critical points related to the symmetric mountain pass theorem and applications
K. Tanaka
Communications in partial differential equations 14 99 - 128 1989年
Infinitely many periodic solutions for the equation utt-uxx ± |u|P-1=f(x, t), II
K. Tanaka
Transaction of the American Mathematical Society 307 ( 2 ) 615 - 645 1988年06月 [査読有り]
Infinitely many periodic solutions for the equation utt-uxx ± |u|P-1=f(x, t), II
K. Tanaka
Transaction of the American Mathematical Society 307 615 - 645 1988年
Forced Vibrations for a Superlinear Vibrating String Equation
Kazunaga Tanaka
North-Holland Mathematics Studies 148 ( C ) 247 - 266 1987年
INFINETELY MANY PERIODIC-SOLUTIONS FOR A SUPERLINEAR FORCED WAVE-EQUATION
K TANAKA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 11 ( 1 ) 85 - 104 1987年01月 [査読有り]
Infinitely many periodic solutions for a superlinear forced wave equation
Kazunaga Tanaka
Nonlinear Analysis 11 ( 1 ) 85 - 104 1987年
DENSITY OF THE RANGE OF A WAVE OPERATOR WITH NONMONOTONE SUPERLINEAR NONLINEARITY
K TANAKA
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 62 ( 4 ) 129 - 132 1986年04月 [査読有り]
Density of the range of a wave operator with nonmenotone superlinear nonlinearity
K. Tanaka
Proceedings of the Japan Academy 62A 129 - 132 1986年
Forced vibrations for a superlinear vibrating string equation
K. Tanaka
in Recent topics in nonlinear PDE, III (Tokyo 1986), North-Holland 247 - 266 1986年
On the range of wave operators
Kazunaga Tanaka
Tokyo Journal of Mathematics 8 ( 2 ) 377 - 387 1985年
Infinitely many periodic solutions for the equation : utt-uxx ±|u|S-1u=f(x, t)
K. Tanaka
Communications in partial differential equations 10 1317 - 1345 1985年
On the range of wave operators
K. Tanaka
Tokyo Journal of Mathematics 8 377 - 387 1985年
Infinitely many periodic solutions for the equation : utt-uxx ±|u|S-1u=f(x, t)
K. Tanaka
Communications in partial differential equations 10 ( 11 ) 1317 - 1345 1985年 [査読有り]
On the number of positive solutions of singularly perturbed 1D NLS
P. Felmer, S. Martinez, K. Tanaka
J. Eur. Math. Soc. to appear
High frequency chaotic solutions for a slowly varying dynamical system
P. Felmer, S. Martinez, K. Tanaka
Ergodic Theory Dynamical Systems to appear
High frequency solutions for singularly perturbed 1D nonlinear Schrodinger equation
P. Felmer, S. Martinez, K. Tanaka
Arch. Rat. Mech. Anal to appear
On the number of positive solutions of singularly perturbed 1D NLS
P. Felmer, S. Martinez, K. Tanaka
J. Eur. Math. Soc. 出版予定
High frequency chaotic solutions for a slowly varying dynamical system
P. Felmer, S. Martinez, K. Tanaka
Ergodic Theory Dynamical Systems 出版予定
High frequency solutions for singularly perturbed 1D nonlinear Schrodinger equation
P. Felmer, S. Martinez, K. Tanaka
Arch. Rat. Mech. Anal 出版予定
変分問題入門 : 非線形楕円型方程式とハミルトン系
田中, 和永
岩波書店 2018年06月 ISBN: 9784007307706
Nonlinear Problems 2 (in Japanese)
K. Tanaka
Iwanami 2000年
非線形問題 2
田中和永
岩波書店 2000年
古典場の理論における微分型相互作用の数学解析
研究期間:
分散方程式と調和解析学の研究
研究期間:
変分的手法による非局所非線形楕円型方程式の研究
研究期間:
等式の枠組による零形式の時空大域的研究
研究期間:
古典場の理論における臨界相互作用の数学解析
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非線形楕円型方程式の固有値問題と逆問題の解析
研究期間:
実解析とエネルギー法による非有界領域上のNavier-Stokes 方程式の研究
研究期間:
変分的手法による非線形楕円型方程式の大域的解析
研究期間:
変分問題、最適化問題と非線形偏微分方程式の研究
研究期間:
質量共鳴における振動と特異性の研究
研究期間:
反応拡散方程式と関連する自由境界問題の研究
研究期間:
非線型楕円型方程式の大域理論の比較研究を通じた統一的理解の研究
研究期間:
非線型放物型方程式の解の爆発理論における非対称・非等方性の研究
研究期間:
変分問題、最適化問題および非線形偏微分方程式の解の構造の研究
研究期間:
非線形楕円型固有値問題の漸近解析と逆問題
研究期間:
非線形放物型方程式のアトラクターの研究
非線形放物型および楕円型方程式の定性理論の新展開
2016年 平田 潤
2003年
2001年
2000年
1999年
1997年
1995年
変分的手法による非線型問題の研究
フランス コンテ大学
チリ チリ大学