Nelson Diffusions and Nonlinear Schrödinger equations Invited

RIMS Kokyuroku `` Stochastic processes and statitical phenomena nehind PDEs''   1823 ( - )   172-181   2013.1

Scattering and blowup problems for a class of nonlinear Schrödinger equations Reviewed

T. Akahori, H. Kikuchi, H. Nawa

Differential and Integral Equations   25 ( 11-12 )   1075-1118   2012.11

Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth Reviewed

T. Akahori, S. Ibrahim, H. Kikuchi, H. Nawa

Differential and Integral Equations   25 ( 3-4 )   383-402   2012.3

Self-focusing of a LASER beam and nonlinear Schrödinger equations - An application of the Nelson diffusion Invited

RIMS Kokyuroku 1702   1702 ( - )   31-50   2010.8

オンサーガー予想とコルモゴロフ予想

松本剛, 名和範人, 坂上貴之

第58回理論応用力学講演会 講演論文集   - ( - )   529-530   2009.6

Formation of singularities in solutions of the derivative nonlinear Schrödinger equation and collapse of Alfvén waves

第56回理論応用力学講演会 講演論文集   - ( - )   115-116   2007.3

非線形 Schrödinger方程式の爆発解と Nelson 過程の道の幾何 Invited

数理解析研究所講究録 1430『波の非線形現象とその応用』（京都大学数理解析研究所）   1430 ( - )   146-159   2005.5

Formation of singularities in solutions of the derivative nonlinear Schrödinger equation and collapse of Alfvén waves

115 - 116   2005.5

非線形 Schrödinger 方程式の爆発解 Invited

日本数学会関数方程式論分科会研究集会「微分方程式の総合的研究」講演予稿集   - ( - )   9-16   2002.12

Nelson diffusions and blow-up phenomena in solutions of the nonlinear Schrödinger equation with critical power Invited Reviewed

Nonlinear Dynamics and Renormalization Group - CRM Proceedings and lecture notes   27 ( - )   117-134   2001.12

非線形シュレディンガー方程式の爆発解の漸近および極限形状について Invited

日本数学会関数方程式論分科会特別講演 関数方程式論 講演アブストラクト   - ( - )   118-125   2000.3

Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrödinger equation with critical power Reviewed

Commun. Pure and Applied Math.   52 ( 2 )   193-270   1999.2

Two points blow-up in solutions of the nonlinear Schrödinger equation with quartic potential on R Reviewed

J. Stat. Phys   91 ( 2 )   1998.4

On blowup for the pseudo-conformally invariant nonlinear Schrödinger equation II Reviewed

Commun. Pure, Applied Math

Commun. Pure and Applied Math.   51 ( 4 )   373-383   1998.4

Limiting profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity Reviewed

Proc. Japan Acad.   73(A) ( 10 )   171-175   1997.12

Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity Reviewed

J. Math. Soc. Japan   46 ( 4 )   557-586   1994.10

Formation of singularities in blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity Invited

Miniconference on Analysis and Applications , Proc. Centre for Math. Appl. Austral. Nat. Univ.   33 ( - )   167-188   1994.9

Nonlinear scattering with nonlocal interaction Reviewed

H.Nawa, T.Ozawa

Commun. Math. Phys.   146 ( 2 )   259-275   1992.5

"Mass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity Reviewed

Funk. Ekva.   35 ( 1 )   1-18   1992.4

Convergence theorems for the pseudo-conformaly invariant nonlinear Schrödinger equation Invited

RIMS Kokyuroku 755   755 ( - )   73-92   1991.6

"Mass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity II Reviewed

Kodai Math. J.   13 ( 2 )   333-348   1990.9

Convergence theorems for the pseudo-conformally invariant nonlinear Schrödinger equation Reviewed

Proc. Japan Acad.   66(A) ( 7 )   214-216   1990.9

On blowup for the pseudo-conformally invariant nonlinear Schrödinger equation Reviewed

H. Nawa, M. Tsutsumi

Funk. Ekva.   32 ( 3 )   417-428   1989.12

非線形 Schrödinger 方程式が記述する世界 - 変分構造，特異点，基底状態 - Invited

研究集会「乱流現象及び非平衡系の多様性と普遍性」  2011.11 

Instability of the ground state of the nonlinear Schrödinger equations Invited

Model Equations in Bose-Einstein Condensation and Related Topics (SAKURA project)  2010.12 

Nonlinear Schrödinger equations and geometry of corresponding Nelson diffusion Invited

Workshop on Singularities Arising in Nonlinear Problems  2010.11 

Nonlinear Schrödinger equations and geometry of Nelson diffusions Invited

Stochastic Problems and Nonlinear PDEs  2009.12 

Nonlinear Schrödinger equations and relevant Nelson diffusions Invited

4th Euro-Japan Workshop on Blow-up, Lorentz Center  2009.9 

オンサーガー予想とコルモゴロフ予想

第5８回理論応用力学講演会  2009.6 

Nelson diffusions and loglog law for the pseudo-conformally invariant nonlinear Schrödinger equations Invited

Stochastic Problems and Nonlinear PDEs  2008.12 

Asymptotic profiles and blowup rates for the L^2 critical Nonlinear Schrödinger equaton Invited

Third Euro-Japan Workshop on Blow-up  2008.9 

Some (possible) application of Nelson diffusions to nonlinear Schrödinger equations Invited

Stochastic Problems and nonlinear PDE  2007.12 

微分型シュレディンガー方程式の爆発解とプラズマ中のAlfven波の崩壊

第56回理論応用力学講演会  2007.3 

非線形 Schrödinger 方程式の爆発解と Nelson 過程の道の幾何 Invited

RIMS 研究集会「波の非線形現象の数理とその応用」  2004.10 

Nonlinear Schrödinger equation and Stochastic Analysis Invited

Emerging Applications of the Nonlinear Schrödinger equations  2003.2 

Blowup of solutions of a class of nonlinear Schrödinger equations Invited International conference

Math 2000  2000.10 

Nelson diffusions and blowup phenomena in solutions of the nonlinear Schrödinger equation with critical power Invited

The First East Asia Symposium on Nonlinear PDE  2000.9 

非線形シュレディンガー方程式の爆発解の漸近および極限形状について Invited

日本数学会関数方程式論分科会特別講演  2000.3 

Formation of singularities in solutions of the derivative nonlinear Schrödinger equation on the half line Invited

AMS Regional Meeting  1999.10 

Limiting profiles and loglog law for blowup solutions of the nonlinear Schrödinger equation with critical power

1999.9 

Nelson diffusions and blowup phenomena in solutions of the nonlinear Schrödinger equation with critical power Invited

Workshop on Nonlinear Dynamics and Renormalization Group  1999.8 

Blow-up phenomena in solutions of the nonlinear Schrödinger equation with critical power Invited

International Conference on Operator Theory and Its Applications to Scientific and Industrial Problems  1998.10 

Nonlinear Schrödinger equation Invited

MSJ Regional Workshop on Concentration Phenomena in Elliptic and Parabolic PDEs  1998.7 

Two points blow-up in solutions of the nonlinear Schrödinger equation with quartic self-interacting potential on 1+1 space-time Invited

AMS Regional Meeting  1998.3 

Formation of singularities in solutions of the derivative nonlinear Schrödinger equation International conference

WCNA 96  1996.7 

Formation of singularities in solutions of coupled nonlinear Schrödinger equation

The International Conference on "Nonlinear Evolution Equations and Infinite Dimensional Dynamical Systems (ICNEEIDDS)  1994.6 

Formation of singularities in solutions of the nonlinear Schrödinger equation Invited

Workshop on Nonlinear Partial Differential Equations, "Pattern Formation, Singularities and Related Topics."  1994.3 

Formation of singularities in blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity

Miniconference on Analysis and Applications  1993.9 

Formation of Singularities in solutions of the nonlinear Schrödinger equation with critical power nonlinearity Invited

Fourth International Colloquium on Differential Equations  1993.8 

Asymptotic behavior of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity Invited

Second international colloquium on numerical analysis  1993.8 

Asymptotic shape of blow-up solutions of the nonlinear Schrödinger equation Invited

NATO Advanced Research Workshop "Singularities in Fluids, Plasmas and Optics''  1992.7 

非線形シュレーディンガー方程式とネルソン拡散過程

2007.4 - 2009.3

挑戦的萌芽研究 

非線形シュレデインガー方程式の爆発解とその周辺

2002.4 - 2005.3

基盤研究 (B) 

非線形シュレディンガー方程式とメソスコピック系

1998.4 - 2001.3

萌芽的研究 

非線形シュレディンガー方程式とメソスコピック系

1996.4

萌芽的研究