On the second-order regularity of solutions to the parabolic p-Laplace equation
Finna-arvio
On the second-order regularity of solutions to the parabolic p-Laplace equation
In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 and 1<p><∞. The range of s is sharp.</p>
Tallennettuna:
| Kieli |
englanti |
|---|---|
| Sarja | Journal of Evolution Equations |
| Aiheet | |
| ISSN |
1424-3199 |