Solutions of the (generalized) Korteweg-de Vries equation in the Bergman and the Szegö spaces on a sector

DOI10.1215/S0012-7094-91-06224-1zbMath0729.35119OpenAlexW1499950080MaRDI QIDQ805918

Nakao Hayashi

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06224-1

zbMATH Keywords

Bergman spaceunique local solutionKorteweg-de Vries equationSzegö space

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Continuation and prolongation of solutions to PDEs (35B60)

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Cites Work

• Unnamed Item
• Isometrical identities for the Bergman and the Szegö spaces on a sector
• Nonlinear evolution equations and analyticity. I
• On the (generalized) Korteweg-de Vries equation
• Uniqueness of Solutions for the Generalized Korteweg–de Vries Equation
• The bergman space on a sector and the heat equation
• Analyticity of Solutions of the Korteweg–De Vries Equation