Nonlinear degenerate parabolic equation with nonlinear boundary condition

DOI10.1007/s10114-004-0512-2zbMath1092.35053OpenAlexW1995255669MaRDI QIDQ2581214

Shu Wang, Wen-jun Sun

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-004-0512-2

zbMATH Keywords

weak solutionnonlinear boundary value problemglobal existencedegenerate parabolic equationnecessary and sufficient conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)

Related Items (4)

GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE ⋮ Non-Newtonian polytropic filtration systems with nonlinear boundary conditions ⋮ Blowup for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux ⋮ GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE

Cites Work

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• Diffusivity versus absorption through the boundary
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• The Role of Critical Exponents in Blowup Theorems
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"
• Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions
• Parabolic equation of the \(m\)-Laplacian with nonlinear boundary condition

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