On a nonlocal degenerate parabolic problem

DOI10.1016/j.nonrwa.2015.07.015zbMath1330.35221arXiv1407.6971OpenAlexW2964130198MaRDI QIDQ900625

Stanislav N. Antontsev, Rui M. P. Almeida, José C. M. Duque

Publication date: 22 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6971

zbMATH Keywords

existenceuniquenessasymptotic behaviourdegenerate parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (12)

Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion ⋮ On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods ⋮ On the finite element method for a nonlocal degenerate parabolic problem ⋮ On a class of nonlocal porous medium equations of Kirchhoff type ⋮ Nonexistence and existence of solutions with prescribed norm for semilinear nonlocal elliptic equations ⋮ Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy ⋮ LONG-TIME BEHAVIOR OF SOLUTIONS TO A NONLOCAL QUASILINEAR PARABOLIC EQUATION ⋮ Unnamed Item ⋮ Extinction phenomenon and decay estimate for a quasilinear parabolic equation with a nonlinear source ⋮ Unnamed Item ⋮ On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type ⋮ On a degenerate nonlocal parabolic equation with variable source

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease
• A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: existence, uniqueness, exponential decay and simulation
• A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions
• The Crank-Nicolson-Galerkin finite element method for a nonlocal parabolic equation with moving boundaries
• Some remarks on non local elliptic and parabolic problems
• Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations

This page was built for publication: On a nonlocal degenerate parabolic problem