Uniqueness of the \(\omega\)-limit point of solutions of a semilinear heat equation on the circle
From MaRDI portal
Publication:1100625
DOI10.3792/pjaa.62.335zbMath0641.35028OpenAlexW2067790651MaRDI QIDQ1100625
Publication date: 1986
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.62.335
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)
Related Items
An unstable elliptic free boundary problem arising in solid combustion, Existence, multiplicity, shape and attractivity of heterogeneous steady states for bistable reaction-diffusion equations in the plane, A particle system with explosions: law of large numbers for the density of particles and the blow-up time, Convergence and sharp thresholds for propagation in nonlinear diffusion problems, Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations, The two-phase membrane problem--an intersection-comparison approach to the regularity at branch points, Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\), Dynamics of time-periodic reaction-diffusion equations with compact initial support on \(\mathbb{R}\)
Cites Work
- Unnamed Item
- Symmetry and related properties via the maximum principle
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
- Convergence of solutions of one-dimensional semilinear parabolic equations
