| Title:
|
Global Lipschitz continuity for elliptic transmission problems with a boundary intersecting interface (English) |
| Author:
|
Druet, Pierre-Etienne |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
138 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
185-224 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the regularity of the weak solution to elliptic transmission problems that involve two layered anisotropic materials separated by a boundary intersecting interface. Under a pair of compatibility conditions for the angle of the two surfaces and the boundary data at the contact line, we prove the existence of up to the boundary square-integrable second derivatives, and the global Lipschitz continuity of the solution. If only the weakest, necessary condition is satisfied, we show that the second weak derivatives remain integrable to a certain power less than two. (English) |
| Keyword:
|
elliptic transmission problem |
| Keyword:
|
regularity theory |
| Keyword:
|
Lipschitz continuity |
| MSC:
|
35B65 |
| MSC:
|
35J25 |
| idZBL:
|
Zbl 06221249 |
| idMR:
|
MR3112365 |
| DOI:
|
10.21136/MB.2013.143291 |
| . |
| Date available:
|
2013-05-27T14:27:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143291 |
| . |
| Reference:
|
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