The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation

DOI10.2478/s11533-011-0020-4zbMath1233.35130OpenAlexW1970720896MaRDI QIDQ657290

Jiaqing Pan

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0020-4

zbMATH Keywords

large time behaviorNeumann problemcontinuous dependence on nonlinearity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59)

Cites Work

• The occurrence of interfaces in nonlinear diffusion-advection processes
• Properties of solutions of an equation in the theory of infiltration
• A necessary and sufficient condition for global existence for a degenerate parabolic boundary value problem
• Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
• Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces
• L^PBounds of solutions of reaction-diffusion equations
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