On the global existence of solution to one-dimensional fourth order nonlinear Sobolev type equations

DOI10.1016/j.amc.2010.05.067zbMath1197.35233OpenAlexW1970119939MaRDI QIDQ708187

D. Kharzeev

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.067

zbMATH Keywords

global existenceSobolev equationpseudo-parabolic equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem ⋮ Determination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary condition ⋮ Two-grid finite difference method for 1D fourth-order Sobolev-type equation with Burgers' type nonlinearity ⋮ Identification of time‐dependent potential in a fourth‐order pseudo‐hyperbolic equation from additional measurement ⋮ AN INVERSE BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION IN A RECTANGLE ⋮ Determination of a time-dependent coefficient in awave equation with unusual boundary condition

Cites Work

• A semilinear Sobolev evolution equation in a Banach space
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Almost periodic solution of one dimensional viscous Camassa-Holm
• The viscous Cahn-Hilliard equation. I. Computations
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