| Title:
|
A gradient estimate for solutions of the heat equation. II (English) |
| Author:
|
Kahane, Charles S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
39-44 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex. (English) |
| Keyword:
|
gradient estimate |
| Keyword:
|
heat equation |
| Keyword:
|
maximum principle |
| MSC:
|
35B45 |
| MSC:
|
35B50 |
| MSC:
|
35B65 |
| MSC:
|
35K05 |
| MSC:
|
35K20 |
| idZBL:
|
Zbl 1079.35037 |
| idMR:
|
MR1814630 |
| . |
| Date available:
|
2009-09-24T10:39:30Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127624 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/127449 |
| . |
| Reference:
|
[1] C. Kahane: A gradient estimate for solutions of the heat equation.Czechoslovak Math. J. 48(123) (1998), 711–725. Zbl 0951.35017, MR 1658249, 10.1023/A:1022487622757 |
| . |
