Quelques généralisations de l'équation de Korteweg-de Vries. II

DOI10.1016/0022-0396(79)90068-8zbMath0435.35067OpenAlexW1998183484MaRDI QIDQ1140229

Jean Claude Saut

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90068-8

zbMATH Keywords

Korteweg-de Vries equationsexistence and regularity resultsparabolic regularization method

Mathematics Subject Classification ID

Related Items (13)

Unique continuation for some evolution equations ⋮ Uniqueness properties of higher order dispersive equations ⋮ On the hierarchies of higher order mKdV and KdV equations ⋮ Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation ⋮ On the wellposedness of the KdV/KdV2 equations and their frequency maps ⋮ Asymptotics of solutions for periodic problem for the Korteweg-de Vries equation with Landau damping, pumping and higher order convective non linearity ⋮ Decay properties for solutions of fifth order nonlinear dispersive equations ⋮ Local analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equation ⋮ Higher-Order Nonlinear Dispersive Equations ⋮ Generalized solutions to fifth-order evolution equations ⋮ Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals ⋮ Well-posedness for the fifth-order KdV equation in the energy space ⋮ On the Cauchy problem for the strong dissipative fifth-order KdV equations

Cites Work

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• Sur quelques généralisations de l'équation de Korteweg-de Vries
• Remarks on the Korteweg-de Vries equation
• Nonlinear evolution equations that leave the spectrum of multidimensional Schrödinger equation invariant do not exist
• Espaces d'interpolation et théorème de Soboleff
• On continuity of functions with values in various Banach spaces
• Sur un problème non linéaire
• A regularity theorem for parabolic equations
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Periodic solutions of the KdV equation
• The initial-value problem for the Korteweg-de Vries equation
• The Korteweg–deVries Equation: A Survey of Results
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• On extensions of my previous paper “On the Korteweg-de Vries equation”
• A General Theory for Interactions Between Short and Long Waves
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• Integrals of nonlinear equations of evolution and solitary waves

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