Global solution for coupled parabolic systems with degenerate coefficients and time-weighted sources
In this article we obtained the so-called Fujita exponent for the degenerate parabolic coupled system ut − div(ω(x)∇u) = tr vp vt − div(ω(x)∇v) = ts up in RN × (0, T) with initial data belonging to [L∞ (RN)]2, where p, q > 0 with pq > 1; r, s > −1, and either ω(x) = |x1 |a or ω(x) = |x|b wi...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Perú |
| Institución: | Universidad Tecnológica del Perú |
| Repositorio: | UTP-Institucional |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.utp.edu.pe:20.500.12867/14556 |
| Acceso en línea: | https://hdl.handle.net/20.500.12867/14556 https://doi.org/10.58997/ejde.2024.67 |
| Access Level: | acceso abierto |
| Palabra clave: | Global Solution Coupled Parabolic Systems Degenerate Coefficients Time-Weighted https://purl.org/pe-repo/ocde/ford#2.02.04 |
| Sumario: | In this article we obtained the so-called Fujita exponent for the degenerate parabolic coupled system ut − div(ω(x)∇u) = tr vp vt − div(ω(x)∇v) = ts up in RN × (0, T) with initial data belonging to [L∞ (RN)]2, where p, q > 0 with pq > 1; r, s > −1, and either ω(x) = |x1 |a or ω(x) = |x|b with a, b > 0. |
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