Spectral properties of stationary solutions of the nonlinear heat equation
In this paper, we prove that if ψ is a radially symmetric, signchanging stationary solution of the nonlinear heat equation (NLH) u - ∆u = │u │ α u, in the unit ball of RN, N=3, with Dirichlet boundary conditions, then the solution of (NLH) with initial value λψ blows up infinite time if │λ - 1│....
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:65204 |
| Acceso en línea: | https://ddd.uab.cat/record/65204 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_55111_09 |
| Access Level: | acceso abierto |
| Palabra clave: | Semilinear heat equation Finite-time blowup Sign-changing stationary Solutions Linearized operator |
| Sumario: | In this paper, we prove that if ψ is a radially symmetric, signchanging stationary solution of the nonlinear heat equation (NLH) u - ∆u = │u │ α u, in the unit ball of RN, N=3, with Dirichlet boundary conditions, then the solution of (NLH) with initial value λψ blows up infinite time if │λ - 1│. |
|---|