Global-in-time behavior of weak solutions to reaction-diffusion systems with inhomogeneous Dirichlet boundary condition

DOI10.1016/J.NA.2017.01.013zbMath1371.35161OpenAlexW2567530094MaRDI QIDQ2361704

Haruki Umakoshi, Takashi Suzuki, Michel Pierre

Publication date: 30 June 2017

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.2017.01.013

zbMATH Keywords

asymptotic behaviorDirichlet conditionsreaction diffusion systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (9)

Global well-posedness for volume–surface reaction–diffusion systems ⋮ Boundedness for reaction–diffusion systems with Lyapunov functions and intermediate sum conditions ⋮ Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems ⋮ ASYMPTOTIC BEHAVIOR IN CHEMICAL REACTION-DIFFUSION SYSTEMS WITH BOUNDARY EQUILIBRIA ⋮ A class of evolution differential inclusion systems ⋮ Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type ⋮ On the differential variational inequalities of parabolic-parabolic type ⋮ Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension ⋮ Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects

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