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On the stability of type I blow up for the energy super critical heat equation /
The authors consider the energy super critical semilinear heat equation \partial _{t}u=\Delta u+u^{p}, x\in \mathbb{R}^3, p>5. The authors first revisit the construction of radially symmetric self similar solutions performed through an ode approach and propose a bifurcation type argument which al...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2019.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1255. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The authors consider the energy super critical semilinear heat equation \partial _{t}u=\Delta u+u^{p}, x\in \mathbb{R}^3, p>5. The authors first revisit the construction of radially symmetric self similar solutions performed through an ode approach and propose a bifurcation type argument which allows for a sharp control of the spectrum of the corresponding linearized operator in suitable weighted spaces. They then show how the sole knowledge of this spectral gap in weighted spaces implies the finite codimensional nonradial stability of these solutions for smooth well localized initial data usi. |
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| Descripción Física: | 1 online resource (v, 97 pages) |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 1470453347 9781470453343 |
| ISSN: | 1947-6221 ; |