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Francesco Calogero Integrable nonlinear evolution equations in multidimensions 717
Hiroyuki Chihara The initial value problem for semilinear Schrodinger equations
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Anal assume assumption asymptotic behavior Banach space blow-up C-integrable Cauchy problem Comm condition consider decay defined denote derivatives Differential Equations eigenvalue energy equation 0.1 estimate existence of solutions exterior domains finite fluid GAKUTO International Series global existence global solution Hokkaido University hyperbolic implies inequality initial value problem integral equation International Series Mathematical Japan Klein-Gordon equation L2-norm Lemma linear magnetic Math method Navier-Stokes equations NLPDEs nonlinear Schrodinger equations nonlinear term nonlinear wave equations Nonlinear Waves norm obtain parameter Phys posedness positive constant preprint proof of Theorem Proposition prove Remark satisfies Schrodinger equations Sciences and Applications semilinear wave equations Series Mathematical Sciences singular small initial data smooth Sobolev inequality Sobolev space solitary waves space dimensions spherical derivative stationary Strichartz sufficiently small Theorem 3.1 theory Tokyo transformation unique solution variable vector wave equations wave operators weak solutions zero