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The Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) in Sobolev spaces \(H^s\), \(s>0\).

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Publication:1848294
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zbMath1055.35101MaRDI QIDQ1848294

Yanyan Li

Publication date: 2001

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Cauchy problemsemigroupwell posednessKadomtsev-Petviashvili equation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)


Related Items

The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation ⋮ The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES



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