Asymptotic bounds of solutions for a periodic doubly degenerate parabolic equation

DOI10.1016/j.na.2010.11.044zbMath1213.35270OpenAlexW2025181618MaRDI QIDQ631711

Jingxue Yin, Yifu Wang, Jiebao Sun

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.044

zbMATH Keywords

Moser iterationmonotonicity methodlogistic periodic sources

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (11)

The well-posedness of the solutions based on the \(L^1\) initial value condition ⋮ Optimal partial boundary condition for degenerate parabolic equations ⋮ Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion ⋮ Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent ⋮ Existence of periodic solutions of a \(p\)-Laplacian-Neumann problem ⋮ The stability of the solutions of an anisotropic diffusion equation ⋮ Coexistence periodic solutions of a doubly nonlinear parabolic system with Neumann boundary conditions ⋮ Unnamed Item ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ Unnamed Item ⋮ On a weak solution matching up with the double degenerate parabolic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
• Existence of nontrivial nonnegative periodic solutions for a class of doubly degenerate parabolic equation with nonlocal terms
• Periodic solutions for a degenerate parabolic equation
• Periodic solutions for a class of reaction-diffusion equations with \(p\)-Laplacian
• Periodic solutions of some nonlinear degenerate parabolic equations
• On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations
• Asymptotic behavior of solutions of a periodic reaction-diffusion system of a competitor-competitor-mutualist model
• The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions
• On the critical Fujita exponents for solutions of quasilinear parabolic inequalities
• Periodic solutions for double degenerate quasilinear parabolic equations
• Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
• Diffusion of Fluid in a Fissured Medium with Microstructure
• Asymptotic behaviour of solutions of periodic competition diffusion system
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
• Multiplicity results for a degenerate elliptic equation with logistic reaction

This page was built for publication: Asymptotic bounds of solutions for a periodic doubly degenerate parabolic equation