Universal bounds for global solutions of a diffusion equation with a nonlocal reaction term.

DOI10.1016/S0022-0396(03)00039-1zbMath1035.35014OpenAlexW1976639272MaRDI QIDQ1406504

D. Massart

Publication date: 4 September 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00039-1

zbMATH Keywords

smoothing effectnonlocal nonlinearityboundedness of global solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45)

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Uniform blow-up rate for compressible reactive gas model ⋮ On global attractor for \(m\)-Laplacian parabolic equation with local and nonlocal nonlinearity ⋮ Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem ⋮ Existence of nontrivial nonnegative periodic solutions for a class of doubly degenerate parabolic equation with nonlocal terms ⋮ Cauchy problem for degenerate and uniformly parabolic equations with nonlocal source ⋮ Periodic solution of a quasilinear parabolic equation with nonlocal terms and Neumann boundary conditions ⋮ Asymptotic behaviour of nonlocal reaction-diffusion equations ⋮ Existence and Behavior Results For a Nonlocal Nonlinear Parabolic Equation With Variable Exponent ⋮ L ∞ Estimates of solution for m-Laplacian parabolic equation with a nonlocal term ⋮ Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

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