On the qualitative properties of solutions for quasilinear periodic mixed problems for equation of parabolic type with nonlocal terms

DOI10.1016/S0362-546X(99)00278-3zbMath0994.35065OpenAlexW1978145061WikidataQ127972422 ScholiaQ127972422MaRDI QIDQ5936424

Mikhail P. Vishnevskii

Publication date: 25 September 2002

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/s0362-546x(99)00278-3

zbMATH Keywords

stabilityperiodic solutionsboundary value problemparabolic equationsnonlocal equations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10)

Cites Work

• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Spatial homogeneity of stable solutions of some periodic-parabolic problems with Neumann boundary conditions
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Some remarks on maximum principles
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
• Stability of stationary solutions of nonlocal reaction-diffusion equations in \(m\)-dimensional space.
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