Classical solutions of nonlinear Schrödinger equations in higher dimensions

DOI10.1007/BF01214202zbMath0438.35028MaRDI QIDQ1141831

Masayoshi Tsutsumi, Nakao Hayashi

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173059

zbMATH Keywords

a priori estimatesnonlinear Schrödinger equationinitial value problemgrowth conditionsglobal classical solutionSobolev-Besov spaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

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