A note on the Cauchy problem to a class of nonlinear dispersive equations with singular initial data

DOI10.1016/S0362-546X(98)00344-7zbMath0987.35138OpenAlexW2065071149MaRDI QIDQ1576563

Huijiang Zhao

Publication date: 13 June 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00344-7

zbMATH Keywords

Cauchy problemcompensated compactnessadmissible measure-valued solutionsunique global-in-time smooth solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65)

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Kinetic decomposition for singularly perturbed higher order partial differential equations ⋮ Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space ⋮ A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation ⋮ NONLINEAR STABILITY OF PLANAR STATIONARY WAVES FOR GENERALIZED BENJAMIN–BONA–MAHONY–BURGERS EQUATIONS IN THE HALF-PLANE

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