| Title:
|
A survey of results on nonlinear Venttsel problems (English) |
| Author:
|
Apushkinskaya, D. E. |
| Author:
|
Nazarov, A. I. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
69-80 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and Hölder spaces. (English) |
| Keyword:
|
Venttsel boundary conditions |
| Keyword:
|
elliptic equations |
| Keyword:
|
parabolic equations |
| Keyword:
|
a priori estimates |
| Keyword:
|
existence theorems |
| Keyword:
|
boundary value problems |
| MSC:
|
35B05 |
| MSC:
|
35B45 |
| MSC:
|
35K60 |
| idZBL:
|
Zbl 1058.35118 |
| idMR:
|
MR1738896 |
| DOI:
|
10.1023/A:1022288717033 |
| . |
| Date available:
|
2009-09-22T18:02:41Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134429 |
| . |
| Reference:
|
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| Reference:
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