| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8900256 | Journal of Mathematical Analysis and Applications | 2018 | 18 Pages |
Abstract
In this paper, we consider the Cauchy problems for a uniformly parabolic equation and a Hamilton-Jacobi equation. Our aim is to show the optimality of an upper estimate of the Lâ-norm of the gradient of solution to each Cauchy problem. In order to achieve this aim, we investigate a lower estimate of this Lâ-norm.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yasuhiro Fujita,