Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592667 | Journal of Functional Analysis | 2006 | 36 Pages |
Abstract
We study the existence and the asymptotic behavior of positive solutions for the parabolic equation on D×(0,∞), where is a some unbounded domain in and V belongs to a new parabolic class J∞ of singular potentials generalizing the well-known parabolic Kato class at infinity P∞ introduced recently by Zhang. We also show that the choice of this class is essentially optimal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory