Structure of boundary blow-up for higher-order quasilinear parabolic equations

descriptionPublicationkeyboard_double_arrow_right Article 08 Nov 2004 English Publisher:The Royal SocietyJournal:Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, volume 460, pages 3,299-3,325 (issn: 1364-5021, eissn: 1471-2946,

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Authors: Galaktionov, V. A.; Shishkov, A. E.;

doi: 10.1098/rspa.2004.1297

Structure of boundary blow-up for higher-order quasilinear parabolic equations

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Abstract

The nonhomogeneous Dirichlet boundary value problem for a general higher order quasilinear parabolic equation is considered. The boundary function is assumed to blow up in finite time. Some sharp estimates of propagation of singularities in the interior of the domain are established.

Related Organizations

University of Bath
United Kingdom
Keldysh Institute of Applied Mathematics
Russian Federation

Keywords

boundary blow-up, Asymptotic behavior of solutions to PDEs, global and regional blow up, Nonlinear parabolic equations, higher order parabolic equation, Initial-boundary value problems for higher-order parabolic equations, Singularity in context of PDEs

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