Stability of stationary states for the coupled Klein-Gordon-Schro¨dinger equations

[1]  E. Lieb.  Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation , 1977 .

[2]  M. Kwong.  Uniqueness of positive solutions of Δu−u+up=0 in Rn , 1989 .

[3]  P. Lions.  The concentration-compactness principle in the Calculus of Variations , 1984 .

[4]  G. M. D. Penha.  Contemporary developments in continuum mechanics and partial differential equations , 1978 .

[5]  Alain Bachelot.  Problème de Cauchy pour des systèmes hyperboliques semi‐linéaires , 1984, Annales de l'Institut Henri Poincaré C, Analyse non linéaire.

[6]  H. Yukawa.  On the Interaction of Elementary Particles I , 1955 .

[7]  M. Weinstein.  Lyapunov stability of ground states of nonlinear dispersive evolution equations , 1986 .

[8]  Masayoshi Tsutsumi,et al.  On coupled Klein-Gordon-Schrödinger equations, II , 1978 .

[9]  J. Shatah,et al.  Stability theory of solitary waves in the presence of symmetry, II☆ , 1990 .

[10]  Wolf von Wahl,et al.  On the global strong solutions of coupled Klein-Gordon-Schrödinger equations , 1987 .

[11]  Tohru Ozawa,et al.  Asymptotic Behavior of Solutions for the Coupled Klein–Gordon–Schrödinger Equations , 1994 .

[12]  Walter A. Strauss,et al.  Nonlinear scattering theory at low energy: Sequel☆ , 1981 .

[13]  Jalal Shatah,et al.  Unstable ground state of nonlinear Klein-Gordon equations , 1985 .

[14]  J. Shatah,et al.  Instability of nonlinear bound states , 1985 .

[15]  P. Lions,et al.  Orbital stability of standing waves for some nonlinear Schrödinger equations , 1982 .

[16]  M. Weinstein.  Nonlinear Schrödinger equations and sharp interpolation estimates , 1983 .

[17]  J. Shatah.  Stable standing waves of nonlinear Klein-Gordon equations , 1983 .