The bound of supports of solutions for some classes of evolutionary systems and equations

DOI10.1007/s10958-011-0341-7zbMath1282.35216OpenAlexW1976432109MaRDI QIDQ393293

Tariel A. Sanikidze, Anatolii F. Tedeev

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0341-7

zbMATH Keywords

convective termBean modelfiniteness of a solution

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

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• A Fujita type result for a degenerate Neumann problem in domains with noncompact boundary
• A degenerate evolution system modeling Bean's critical-state type-II superconductors
• Existence results for some quasilinear elliptic equations involving critical Sobolev exponents
• Asymptotic behaviour of supports of solutions of quasilinear many-dimensional parabolic equations of non-stationary diffusion-convection type
• Large time behaviour of solutions to a class of quasilinear parabolic equations with convection terms
• On a 𝑝-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory
• Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity
• Sharp estimates and finite speed of propagation for a Neumann problem in domains narrowing at infinity

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