Analytic smoothing effect for global solutions to a quadratic system of nonlinear Schrödinger equations

[1]  Hironobu Sasaki.  Small analytic solutions to the Hartree equation , 2016 .

[2]  T. Ozawa,et al.  Analytic smoothing effect for a system of Schrödinger equations with two wave interaction , 2015, Advances in Differential Equations.

[3]  T. Ogawa,et al.  Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance , 2015 .

[4]  T. Ozawa,et al.  Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity , 2014 .

[5]  N. Hayashi,et al.  On a system of nonlinear Schrödinger equations with quadratic interaction , 2013 .

[6]  Tohru Ozawa,et al.  Small data blow-up for a system of nonlinear Schrödinger equations , 2012, 1210.0606.

[7]  N. Hayashi,et al.  Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d , 2012 .

[8]  N. Hayashi,et al.  On a system of nonlinear Schrödinger equations in 2d , 2011, Differential and Integral Equations.

[9]  T. Ozawa,et al.  Analytic smoothing effect for global solutions to nonlinear Schrödinger equations , 2010 .

[10]  Masahito Ohta,et al.  Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction , 2009 .

[11]  T. Ozawa.  Remarks on proofs of conservation laws for nonlinear Schrödinger equations , 2006 .

[12]  K. Nakamitsu.  Analytic Finite Energy Solutions of the Nonlinear Schrödinger Equation , 2005 .

[13]  T. Ogawa,et al.  NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO , 2003 .

[14]  T. Cazenave.  Semilinear Schrodinger Equations , 2003 .

[15]  T. Ogawa,et al.  Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity , 2000 .

[16]  Jean Bourgain,et al.  On nonlinear Schrödinger equations , 1998 .

[17]  T. Ozawa,et al.  Nonlinear Schrdinger equations in the Sobolev space of critical order , 1998 .

[18]  Thierry Cazenave,et al.  The Cauchy problem for the critical nonlinear Schro¨dinger equation in H s , 1990 .

[19]  S. Saitoh,et al.  Analyticity and global existence of small solutions to some nonlinear Schrödinger equations , 1990 .

[20]  K. Yajima.  Existence of solutions for Schrödinger evolution equations , 1987 .

[21]  Tosio Kato,et al.  Nonlinear Evolution Equations and Analyticity. I , 1986 .

[22]  Y. Tsutsumi.  L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groups , 1985 .

[23]  J. Ginibre,et al.  On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case , 1979 .

[24]  Robert S. Strichartz,et al.  Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations , 1977 .

[25]  E. Stein,et al.  Introduction to Fourier Analysis on Euclidean Spaces. , 1971 .

[26]  T. Ozawa,et al.  ANALYTIC SMOOTHING EFFECT FOR A SYSTEM OF NONLINEAR SCHR ¨ ODINGER EQUATIONS , 2013 .

[27]  C. H. Li,et al.  SMALL DATA SCATTERING FOR A SYSTEM OF NONLINEAR SCHR ¨ ODINGER EQUATIONS , 2011 .

[28]  C. Sulem,et al.  The nonlinear Schrödinger equation : self-focusing and wave collapse , 2004 .

[29]  T. Ogawa,et al.  ANALYTIC SMOOTHING EFFECT AND SINGLE POINT SINGULARITY FOR THE NONLINEAR SCHRODINGER EQUATIONS , 2000 .

[30]  Saburou Saitoh,et al.  Analyticity and smoothing effect for the Schrödinger equation , 1990 .

[31]  J. Bony,et al.  Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires , 1980 .