| Revue: | Boletim da Sociedade Paranaense de Matematica |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000253430 |
| ISSN: | 0037-8712 |
| Autores: | Giga, Yoshikazu1 Umeda, Noriaki1 |
| Instituciones: | 1University of Tokyo, Graduate School of Mathematical Sciences, Tokio. Japón |
| Año: | 2005 |
| Volumen: | 23 |
| Número: | 1-2 |
| Paginación: | 9-28 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | A blowing up solution of the semilinear heat equation ut = ∆u + f(u) with f satisfying lim inf f(u)/up > 0 for some p > 1 is considered when initial data u0 satisfies u0 ≤ M, u0 6≡ M and limm→∞ infx∈Bm u0(x) = M with sequence of ball {Bm} whose radius diverging to infinity. It is shown that the solution blows up only at space infinity. A notion of blow-up direction is introduced. A characterization for blow-up direction is also established |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Ecuaciones diferenciales parciales, Ecuación de calor, Ecuaciones parabólicas, Ecuaciones no lineales |
| Keyword: | Mathematics, Pure mathematics, Partial differential equations, Heat equation, Parabolic equations, Nonlinear equations |
| Texte intégral: | Texto completo (Ver PDF) |
