Descripción
|
|
---|---|
We prove global existence and uniqueness of strong solutions to the logarithmic porous medium type equation with fractional diffusion ?tu + (?)1/2 log(1 + u) = 0, posed for x ? R, with nonnegative initial data in some function space of LlogL type. The solutions are shown to become bounded and C? smooth in (x, t) for all positive times. We also reformulate this equation as a transport equation with nonlocal velocity and critical viscosity, a topic of current relevance. Interesting functional inequalities are involved. | |
Internacional
|
Si |
JCR del ISI
|
Si |
Título de la revista
|
Journal de Mathematiques Pures Et Appliquees |
ISSN
|
0021-7824 |
Factor de impacto JCR
|
1,217 |
Información de impacto
|
|
Volumen
|
101 |
DOI
|
|
Número de revista
|
6 |
Desde la página
|
901 |
Hasta la página
|
924 |
Mes
|
SIN MES |
Ranking
|