LONG-TIME BEHAVIOR OF SOLUTIONS TO NONLINEAR REACTION DIFFUSION EQUATIONS INVOLVING L1 DATA

DOI10.1142/S0219199712500071zbMath1242.35059MaRDI QIDQ3225558

Weisheng Niu, Cheng-Kui Zhong

Publication date: 21 March 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

global attractorreaction diffusion equationsdecomposition technique\(L^{1}\) data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (4)

Asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions and irregular data ⋮ Global attractors for nonlinear parabolic equations with nonstandard growth and irregular data ⋮ Asymptotic behavior of approximated solutions to parabolic equations with irregular data ⋮ Asymptotic behavior for nonlinear degenerate parabolic equations with irregular data

Cites Work

• Unnamed Item
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• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Asymptotic behavior of solutions for linear parabolic equations with general measure data
• Nonlinear elliptic and parabolic equations involving measure data
• Asymptotic regularity for some dissipative equations
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• State constrained control problems for parabolic systems: Regularity of optimal solutions
• Existence of a solution to a coupled elliptic system
• Semi-linear second-order elliptic equations in \(L^1\)
• Elliptic equations with vertical asymptotes in the nonlinear term
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
• Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• Nonlinear elliptic equations with measures revisited
• The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity

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