Global existence of solutions to the initial-boundary value problem of conservation law with degenerate diffusion term

DOI10.1016/j.na.2012.09.016zbMath1268.35082OpenAlexW2011199191MaRDI QIDQ692828

Jiao Chen, Weike Wang, Ya-Chun Li

Publication date: 6 December 2012

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/j.na.2012.09.016

zbMATH Keywords

energy methodconservation lawglobal existencedegenerate diffusionclassical solutionsGreen's function methodpolynomial decay estimatesexponential decay estimatesfrequency decomposition method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Global classical solutions to the Cauchy problem of conservation laws with degenerate diffusion ⋮ The Cauchy problem for the degenerate convective Cahn-Hilliard equation

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