Small solutions to nonlinear Schrödinger equations in the Sobolev spaces

DOI10.1007/BF02788994zbMath0970.35136OpenAlexW2911770078MaRDI QIDQ1591328

Tohru Ozawa, Makoto Nakamura

Publication date: 10 October 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788994

zbMATH Keywords

Sobolev spacesexistenceuniquenessnonlinear Schrödinger equationBesov spacesscattering theoryglobal \(H^s\)-solutions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Interpolation inequalities in Besov spaces ⋮ Optimal \(L^2\)-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity ⋮ Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity ⋮ Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions ⋮ SMALL GLOBAL SOLUTIONS FOR NONLINEAR COMPLEX GINZBURG–LANDAU EQUATIONS AND NONLINEAR DISSIPATIVE WAVE EQUATIONS IN SOBOLEV SPACES ⋮ The Cauchy problem for nonlinear Klein-Gordon equations in the Sobolev spaces

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