Positive Unstable Periodic Solutions for Superlinear Parabolic Equations

DOI10.2307/2161139zbMath0828.35063OpenAlexW4249841470MaRDI QIDQ4844475

Noriko Mizoguchi, Norimichi Hirano

Publication date: 14 January 1996

Full work available at URL: https://doi.org/10.2307/2161139

zbMATH Keywords

semilinear parabolic problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (10)

Periodic solutions for the Allen-Cahn equation ⋮ Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity ⋮ Periodic solutions for a degenerate double-phase parabolic equation with variable growth ⋮ On the existence and uniqueness of time periodic solutions for a semilinear heat equation in the whole space ⋮ A periodic problem of a semilinear pseudoparabolic equation ⋮ Periodic solutions of the evolutionary \(p\)-Laplacian with nonlinear sources ⋮ Periodic solutions of non-Newtonian polytropic filtration equations with nonlinear sources ⋮ Periodic solutions of evolution \(p\)-Laplacian equations with nonlinear sources ⋮ Time periodic solutions of a class of degenerate parabolic equations ⋮ Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems
• Discrete order preserving semigroups and stability for periodic parabolic differential equations
• A bound for global solutions of semilinear heat equations
• Geometric theory of semilinear parabolic equations
• Periodic Solutions for Nonlinear Evolution Equations in a Banach Space
• Differential equations and convergence almost everywhere in strongly monotone semiflows
• On the principal eigenvalue of a periodic-parabolic operator
• On Periodic Solutions of Superlinear Parabolic Problems
• A Remark on the Existence of Positive Periodic Solutions of Superlinear Parabolic Problems
• Periodic solutions of semilinear evolution equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Existence of unstable periodic solutions for semilinear parabolic equations

This page was built for publication: Positive Unstable Periodic Solutions for Superlinear Parabolic Equations