Global existence and boundedness for a class of inhomogeneous semilinear parabolic systems

DOI10.1016/0362-546X(92)90057-LzbMath0801.35041MaRDI QIDQ4695753

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Publication date: 29 June 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

global existenceweakly coupled semilinear parabolic systems\(L^ \infty\) bounds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)

Related Items (13)

Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data ⋮ Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems ⋮ Existence result for triangular reaction-diffusion systems with \(L^1\) data and critical growth with respect to the gradient ⋮ Some results on the existence of weak periodic solutions for quasilinear parabolic systems with L1 data ⋮ On systems of reaction-diffusion equations with a balance law: the sequel ⋮ On nonlinear nonlocal systems of reaction diffusion equations ⋮ Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds ⋮ Weak solutions for some reaction-diffusion systems with balance law and critical growth with respect to the gradient. ⋮ Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations ⋮ The effect of density-dependent dispersal on the stability of populations ⋮ A degenerate reaction-diffusion system modeling atmospheric dispersion of pollutants ⋮ Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria ⋮ Eventually uniform bounds for a class of quasipositive reaction diffusion systems

Cites Work

• Global solutions of reaction-diffusion systems
• Global Existence for Semilinear Parabolic Systems
• Quasilinear Evolution Equations and Parabolic Systems
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Bounds for the fundamental solution of a parabolic equation
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