The Mathematical Society of Japan

Ｃoadjoint Orbit上の可積分系

Integrable System on the Coadjoint Orbit

K. Anada and M. Tsutsumi: Classification of the motion of hypersurfaces for harmonic mean curvature flows by blow-up rates of solutions to a parabolic differential equation

Commun. Appl. Anal.   vol. 7 no. 4 (pp.519-527)  2003

K. Anada and M. Tsutsumi: Classification of the motion of hypersurfaces for harmonic mean curvature flows by blow-up rates of solutions to a parabolic differential equation

Commun. Appl. Anal.   vol. 7 no. 4 (pp.519-527)  2003

K. Anada and M. Tsutsumi: Classification of the motion of hypersurfaces for harmonic mean curvature flows by blow-up rates of solutions to a parabolic differential equation

Commun. Appl. Anal.   vol. 7 no. 4 (pp.519-527)  2003

K. Anada and M. Tsutsumi:Stability of solutions of nonlinear parabolic equations for harmonic eman curvature flows.

Nonlinear Anal. TMA   vol.51 no.2  2002

D. Hirata and M. Tsutsumi: On the well-posedness of a linear heat equation with a critical singular potential

Differential Integral Equations   vol.14 no.1 (pp 1-18)  2001

T.Ishiwata and M.Tsutsumi:Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up Solutions</U>

J. Comput. Math.   vol.18 no.6 (pp.571-586)  2000

T. Akiyama, H. Kasai and M. Tsutsumi, On the existence of the solution of the time dependent Ginzburg-Landau equations in $R^3$,

Funkcial Ekvac.   vol. 43 no.2 255--270  2000

Iliya Shishmarev and Masayoshi Tsutsumi, Asymptotic behavior for large time values of the solutions of the complex landau-Ginzburg equation

Mat.Sb.   vol.190 no.4 (pp. 95--114)  1999

M. Tsutsumi and T. Yasuda, Penalty method for variational inequalities and its error estimates

Funkcial Ekvac.   vol. 42 pp. 281--289  1999

M.Tsutsumi and H.Kasai:The time dependent Ginzburg-Landau Maxwell Equations，</U>

Nonlinear Anal. TMA   vol.37 no.2 (pp 187-216)  1999

I，A.Shishmarev，M.Tsutsumi and E.I.Kaikina，Asymptotics in time for nonlinear nonlocal Schrödinger equation with a source </U>

J.Math.Soc.Japan   vol.51 no.2 (pp.463-487)  1999

Hayato Nawa and Masayoshi Tsutsumi, On blow up for the pseudo-conformally invariant nonlinear Schrodinger equation, II

Comm. Pure Appl. Math.   vol.51 (pp.373--383)  1998

堤正義「時間依存のGinzburg-Landau方程式の初期値境界値問題について」

第14回九州における偏微分方程式研究集会／九州大学   97年2月5日  1997

石渡哲哉・堤正義"Numerical studies of blow-up of solutions to a nonlinear degenerate parabolic equations"

非線形偏微分方程式研究会／東京都立大学   97年1月24日-25日  1997

M.Tsutsumi，H.Kasai and T.Oishi:The Meissner effect and the Ginzburg-Landau equations in the presence of an applied magnetic field </U>

J.Math.Phys   vol.38 no.6 (pp.3046-3054)  1997

M.Tsutsumi and T.Ishiwata:Regional Blow-up of solutions to the initial-boundary value problem for u_t=u^δ(Δu+u)</U>

Proc.Royal Soc.Edinburgh Sect. A   vol 127 no.4 (pp. 841-887)  1997

K.Anada，I.Fukuda and M.Tsutsumi:Local existence and uniqueness of viscosity solution for u_t=uΔu-γ｜▽u｜²+f(t，u)</U>

Adv. Math. Sci. Appl.   vol.7 No.1(pp.55-68)  1997

T.Ishiwata and M.Tsutsumi:A Numerical study of Blow-up Solutions to u_t=u^δ(Δu+μu) </U>(Japanese)

Transactions of the Japan Society for Industrial and Applied Mathematics   6(P219-231)  1996

A way to remove duplication from $ \sum _{i=1}^{N}1/x_i$, (with T.~Idogawa)

Journal of Number Theory,   vol.59 pp.215-224  1996

DOI

T.Ishiwata and M.Tsutsumi:A numerical study of blow-up solutions to u_t=u^δ(Δu+μu) </U>

Proceedings of the Fourth MSJ International Research Institute   I;43(P187-199)  1996

大石毅・堤正義・笠井博則「Gizburg-Landau方程式の数値解析とマイスナー効果」

日本応用数理学会／東京大学駒場キャンパス   96年9月24日-26日  1996

石渡哲哉・堤正義"Numerical Studies of Blow-up of Solutions to some degenerate parabolic equations"

日本応用数理学会／東京大学駒場キャンパス   96年9月24日-26日  1996

石渡哲哉・堤正義「ある退化非線形放物型方程式の爆発解の数値解析」

研究集会「非線形現象の数理とその応用」／富山大学   96年5月9日-12日  1996

石渡哲哉・堤正義「退化放物型方程式の爆発解の数値解析」

日本数学会／新潟大学   96年4月1日-4日  1996

M.Tsutsumi."The time dependent Ginzburg-Landau-Maxwell equations"，the 4th Korea-Japan PDE conference，Taejon，Korea

  1996 Dec.17  1996

石渡哲哉・堤正義"Numerical studies of blow-up of solutions to some degenerate parabolic equation"Fifth International Conference on Evolution Equations and Their Applications to Technology

International Conference Center，Hiroshima，Japan   1996 Oct.28  1996

石渡哲哉・堤正義"Numerical Studies of Blow-up of Solutions to Some Degenerate Parabolic Equation"

JSIAM-SIMAI First Joint Symposium on Flow Problems and Phase Field Models，Europa Palace Hotel，Anacapri，Italy   1996 Oct.3  1996

M.Tsutsumi."On Initial and Boundary Value Problem for the Time Dependent Ginzburg-Landau Equation Under the Applied Magnetic Field"

JSIAM-SIMAI First Joint Symposium on Flow Problems and Phase Field Models，Europa Palace Hotel，Anacapri，Italy   1996 0ct.3  1996

K.Anada，I.Fukuda and M.Tsutsumi:Regional Blow-up and Decay of solutions to the Initial-Boundary Value Problems for u_t=uu_xx-γ(u_x)²+ku²</U>

Funkcialaj Ekvacioj   39(P363-387)  1996

K.Anada and M.Tsutsumi:On existence of viscosity solutions and weak solutions to the Cauchy problem for u_t=uΔu-γ｜▽u｜²</U>

RIMS Kokyuroku   966(P1-17)  1996

M.Tsutsumi.The Meissner effect and the Ginzburg-Landau equations in the presence of an applied magnetic field.

The Second Congress of Nonlinear Analysis，Athens，Greece   1996 July.15  1996

Convergence of singularly perturbed nonlinear hyperbolic systems,

Nonlinear Analysis, TMA,   vol. 24 pp.1673--1681  1995

On numerical results for the linearizable generalized curve shortening equation, (with T.~Idogawa)

Nonlinear Times and Digest,   vol.2 pp. 173--178  1995

Decay of weak solutions to the Davey-Stewartson systems,

J. Math. Anal. Appl.   vol. 182 pp.680--704  1994

Well-posedness of the Cauchy problem for the long-wave-short-wave resonance equations, (with S. Hatano)

Nonlinear Analysis, TMA,   vol. 22 pp.155--171  1994

Well-posedness of the Cauchy problem for Benney's first equations of long wave shosrt wave interactions, (with S. Hatano)

Funkcialaj Ekvacioj,   vol.37 pp. 289--316  1994

Uniqueness of solutions to the Cauchy problem for \(u_{t}=u\triangle u -\gamma |\nabla|^{2}\), (with I Fukuda and H. Ishii)

Journal of Differential and Integral Equations,   vol.6 pp.1231--1252  1993

On Benney's second long-wave-short-wave equations, (with T. Saitoh)

Advances in Mathematical Sciences and Applications,   vol.2 pp.75--89  1993

Global solutions of the nonlinear Schr\"odinger equations with variable coefficients in exterior domains in three space dimensions, (in Russian)

Differents Uravn.,   vol.29 pp. 523--536  1993

Well-posedness of the Cauchy problem for a coupled Schr\"odinger-KdV equations, in the proceeding of the international conference on ^^ ^^ Nonlinear Mathematical Problems in Industry",

Gakkotosho, Tokyo Japan   pp.513--528  1993

Viscosity solutions of a degenerate parabolic equation with measures as initial data, (with T. Kojyo)

Funkcialaj Ekvacioj   vol.35 pp.41-50  1992

On the Cauchy problem for the Boussinesq type equation, (with T. Kojyo)

Math. Japonica   vol.36 pp. 371--379  1991

On global solutions to the initial-boundary value problem for the nonlinear Schr\"{o}dinger equations in exterior domains,

Commun. in Partial Differential Equations,   vol.16 pp.885--907  1991

The initial-boundary value problem for a nonlinear degenerate parabolic equation,

Nonlinear Analysis, TMA,   vol. 16 pp.997--1009  1991

On global solutions to the initial-boundary value problem for the damped nonlinear Schr\"{o}dinger equations,

J. Math. Anal. Appl.   vol.145 pp.328--341  1990

M.Tsutsumi and T.Ishiwata: On the Asymptotic Behaviour of Blowing-up Solutions to a Nonlinear Degenerate Parabolic Equation</U>，manuscript