The Cauchy problem for the (generalized) Kadomtsev-Petviashvili-Burgers equation

zbMath0974.35109MaRDI QIDQ5933742

Luc Molinet

Publication date: 14 June 2001

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

zbMATH Keywords

local existenceexistence of weak global solutionslocal smoothing effectsmallness condition on the initial data

Mathematics Subject Classification ID

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

Related Items (2)

Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D ⋮ Local and global well-posedness in the energy space for the dissipative Zakharov-Kuznetsov equation in 3D

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