Título inglés | Fundamental solutions and asymptotic behaviour for the p-Laplacian equation. |
---|---|
Título español | Soluciones fundamentales y comportamiento asintótico para la ecuación p-laplaciana. |
Autor/es | Kamin, Soshana ; Vázquez, Juan Luis |
Organización | Sch. Math. Sci. Raymond Beverly Sackler Fac. Exact Sci. Tel-Aviv Univ., Tel-Aviv, Israel;Dep. Mat. Univ. Autón. Madrid, Madrid, España |
Revista | 0213-2230 |
Publicación | 1988, 4 (2): 339-354, 19 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | We establish the uniqueness of fundamental solutions to the p-Laplacian equation ut = div (|Du|p-2 Du), p > 2, defined for x Î RN, 0 < t < T. We derive from this result the asymptotic behavoir of nonnegative solutions with finite mass, i.e., such that u(*,t) Î L1(RN). Our methods also apply to the porous medium equation ut = ∆(um), m > 1, giving new and simpler proofs of known results. We finally introduce yet another method of proving asymptotic results based on the idea of asymptotic radial symmetry. This method can be useful in dealing with more general equations. |
Clasificación UNESCO | 120220 |
Palabras clave español | Difusión ; Ecuación de Laplace ; Capa porosa ; Gases ; Soluciones |
Código MathReviews | MR1028745 |
Código Z-Math | Zbl 0699.35158 |
![]() |