Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591442 | Journal of Functional Analysis | 2010 | 16 Pages |
Abstract
We study superparabolic functions related to nonlinear parabolic equations. They are defined by means of a parabolic comparison principle with respect to solutions. We show that every superparabolic function satisfies the equation with a positive Radon measure on the right-hand side, and conversely, for every finite positive Radon measure there exists a superparabolic function which is solution to the corresponding equation with measure data.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory