Published March 1999
| Version v1
Journal article
Square Integrability and Uniqueness of the Solutions of the Kadomtsev-Petviashvili-I Equation
Description
We prove that the solution of the Cauchy problem for the Kadomtsev-Petviashvili-I Equation obtained by the inverse spectral method belongs to the Sobolev space Hk(R2) for k ≥ 0, under the assumption that the initial datum is a small Schwartz function. This solution is shown to be the unique solution within a class of generalized solutions of the Kadomtsev-Petviashvili-I equation
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 2
- Journal Issue
- 1
- Journal Page Range
- p. 1-24
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39078220
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CAUCHY PROBLEM; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE
- Descriptors DEC
- SPACE
Optional Information
- Copyright
- Copyright (c) 1999 Kluwer Academic Publishers