Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation |
| |
| Authors: | Juha Kinnunen Peter Lindqvist |
| |
| Institution: | (1) Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Finland;(2) Department of Mathematics, Norwegian University of Science and Technology, N-7491, Trondheim, Norway |
| |
| Abstract: | A kind of supersolutions of the so-called p-parabolic equation are studied. These p-superparabolic functions are defined as lower semicontinuous functions obeying the comparison principle. Incidentally, they
are precisely the viscosity supersolutions. One of our results guarantees the existence of a spatial Sobolev gradient. For
p = 2 we have the supercaloric functions and the ordinary heat equation.
Mathematics Subject Classification (2000) 35K55 |
| |
| Keywords: | Parabolic p-Laplace equation Obstacle problem Comparison principle |
| 本文献已被 SpringerLink 等数据库收录！ |
