Recent Progress on the Global Well-Posedness of the KPI Equation
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Publication:3566001
DOI10.1007/978-0-8176-4588-5_9zbMath1193.35191OpenAlexW14833992MaRDI QIDQ3566001
Publication date: 7 June 2010
Published in: Recent Developments in Real and Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-8176-4588-5_9
KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
- Correction: ``Global well-posedness for the KP-I equation
- On the local and global well-posedness theory for the KP-I equation
- Global well-posedness for the KP-I equation
- On finite energy solutions of the KP-I equation
- A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order
- On equations of KP-type
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
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