Time-periodic solutions of quasilinear parabolic differential equations. I: Dirichlet boundary conditions

zbMath1002.35073MaRDI QIDQ5957171

Gary M. Lieberman

Publication date: 6 March 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

noncylindrical domainspointwise estimatesgradient estimatesNakao-Ohara-Seidman type equationstime-dependent prescribed mean curvature equation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10) A priori estimates in context of PDEs (35B45)

Related Items (15)

Existence of nontrivial nonnegative periodic solutions for a class of doubly degenerate parabolic equation with nonlocal terms ⋮ Periodic doubly degenerate parabolic equation with nonlocal terms ⋮ Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term ⋮ Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms ⋮ Random periodic solutions of SPDEs via integral equations and Wiener-Sobolev compact embedding ⋮ Unnamed Item ⋮ Existence and stability of periodic solutions for parabolic systems with time delays ⋮ Smoothing effects of the initial-boundary value problem for logarithmic type quasilinear parabolic equations ⋮ Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions ⋮ Stability and attractivity of periodic solutions of parabolic systems with time delays ⋮ Time-periodic solutions of quasilinear parabolic differential equations. III: Conormal boundary conditions ⋮ Periodic solutions for a degenerate parabolic equation ⋮ Periodic solution of stochastic process in the distributional sense ⋮ Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces ⋮ Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

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