Blow-up for doubly degenerate nonlinear parabolic equations

DOI10.1007/s10114-008-6389-8zbMath1149.35375OpenAlexW2045722330MaRDI QIDQ944072

Ming Yu Chen

Publication date: 12 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6389-8

zbMATH Keywords

Dirichlet problemweak solutionfirst eigenvalue

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65)

Related Items

Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time

Cites Work

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• Hölder estimates for quasilinear doubly degenerate parabolic equations
• Critical exponent and critical blow-up for quasilinear parabolic equations
• The problem of blow-up in nonlinear parabolic equations
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Extinction and positivity for a doubly nonlinear degenerate parabolic equation
• Blow-up problems for quasilinear parabolic equations
• Lipschitz continuity of the free boundary of some nonlinear degenerate parabolic equations