| Title:
|
Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications (English) |
| Author:
|
Boussandel, Sahbi |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
63 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
423-437 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method. (English) |
| Keyword:
|
existence |
| Keyword:
|
anti-periodic boundary condition |
| Keyword:
|
Schaefer fixed-point theorem |
| Keyword:
|
continuity method |
| Keyword:
|
diffusion equation |
| MSC:
|
35K10 |
| MSC:
|
35K20 |
| MSC:
|
35K55 |
| MSC:
|
35K57 |
| MSC:
|
35K59 |
| MSC:
|
35K90 |
| MSC:
|
35K92 |
| MSC:
|
47J35 |
| idZBL:
|
Zbl 06945740 |
| idMR:
|
MR3842961 |
| DOI:
|
10.21136/AM.2018.0233-17 |
| . |
| Date available:
|
2018-07-30T11:28:58Z |
| Last updated:
|
2020-09-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147319 |
| . |
| Reference:
|
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| Reference:
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| . |
