Asymptotics in semilinear periodic diffusion equations with Dirichlet or Robin boundary conditions

DOI10.1007/BF00375604zbMath0746.35005OpenAlexW2054860485MaRDI QIDQ1181009

S. Singh

Publication date: 27 June 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375604

zbMATH Keywords

periodic coefficientshomogeneous Dirichlet boundary conditionperiodic asymptotically stable solutionsone-parameter family of periodic solutionsglobally asymptotically stable solutionstability of the linearized equationunique positive periodic globally asymptotically stable solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10)

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Cites Work

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• Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
• Lyapunov operators and stabilization in strongly order preserving dynamical systems
• Discrete order preserving semigroups and stability for periodic parabolic differential equations
• Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses
• Convergence to equilibrium on invariant \(d\)-hypersurfaces for strongly increasing discrete-time semigroups
• On the principal eigenvalue of a periodic-parabolic operator

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