Local well-posedness for a Cauchy problem associated to a non linear evolution equation
In this article we will study the local well-posedness for a non-linear Cauchy problem associated with the differential equation KdV- Kuramoto-Sivashinsky: in the infinite dimensional spaces (periodic sobolev) H sper. We do this using the theory of C0- semigrupos, main properties of the Fourier tran...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Perú |
| Institución: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/21697 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/21697 |
| Access Level: | acceso abierto |
| Palabra clave: | non linear KdV-Kuramoto-Sivashinsky equation periodic Sobolev spaces local well posedness Semigroups theory Fourier theory Banach's fixed point theorem ecuación KdV-Kuramoto-Sivashinsky no lineal espacios de Sobolev periódico buen planteamiento local teoría de Semigrupos teoría de Fourier Teorema del Punto fijo de Banach |
| Sumario: | In this article we will study the local well-posedness for a non-linear Cauchy problem associated with the differential equation KdV- Kuramoto-Sivashinsky: in the infinite dimensional spaces (periodic sobolev) H sper. We do this using the theory of C0- semigrupos, main properties of the Fourier transform in H sper, as the inmersions in these spaces and that H s-1per is a Banach algebra, which allows us to justify the presence of the non-linearity . |
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