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H^2-regularity for a two-dimensional transmission problem with geometric constraint
H^2-regularity for a two-dimensional transmission problem with geometric constraint
- Source :
- Mathematische Zeitschrift 302 (2022), Nr. 3, Mathematische Zeitschrift, Mathematische Zeitschrift, 2022, 302, pp.1879--1904
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- The $$H^2$$ H 2 -regularity of variational solutions to a two-dimensional transmission problem with geometric constraint is investigated, in particular when part of the interface becomes part of the outer boundary of the domain due to the saturation of the geometric constraint. In such a situation, the domain includes some non-Lipschitz subdomains with cusp points, but it is shown that this feature does not lead to a regularity breakdown. Moreover, continuous dependence of the solutions with respect to the domain is established.
- Subjects :
- Transmission problem
regularity
transmission problem
35B65 - 35J25 - 35J20
General Mathematics
non-Lipschitz domain
Non-Lipschitz domain
Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik
Regularity
Mathematics - Analysis of PDEs
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
ddc:510
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 00255874 and 14321823
- Database :
- OpenAIRE
- Journal :
- Mathematische Zeitschrift 302 (2022), Nr. 3, Mathematische Zeitschrift, Mathematische Zeitschrift, 2022, 302, pp.1879--1904
- Accession number :
- edsair.doi.dedup.....f8933264a249fdfc8f6cba8a806a4418