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Type of Publication: | Journal article |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-280617 |
Author: | Denk, Robert; Seger, Tim |
Year of publication: | 2014 |
Published in: | Boundary Value Problems ; 2014 (2014), 1. - 22. - ISSN 1687-2770. - eISSN 1687-2770 |
DOI (citable link): | https://dx.doi.org/10.1186/1687-2770-2014-22 |
Summary: |
We consider the situation when an elliptic problem in a subdomain Ω1 of an n-dimensional bounded domain Ω is coupled via inhomogeneous canonical transmission conditions to a parabolic problem in Ω∖Ω1. In particular, we can treat elliptic-parabolic equations in bounded domains with discontinuous coefficients. Using Fourier multiplier techniques, we prove an a priori estimate for strong solutions to the equations in Lp-Sobolev spaces.
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MSC Classification: | 35B45; 35M12 |
Subject (DDC): | 510 Mathematics |
Keywords: | Transmission problem, elliptic-parabolic equation, a priori estimates |
Link to License: | Attribution 2.0 Generic |
Bibliography of Konstanz: | Yes |
DENK, Robert, Tim SEGER, 2014. Lp-estimates for a transmission problem of mixed elliptic-parabolic type. In: Boundary Value Problems. 2014(1), 22. ISSN 1687-2770. eISSN 1687-2770. Available under: doi: 10.1186/1687-2770-2014-22
@article{Denk2014estim-28061, title={Lp-estimates for a transmission problem of mixed elliptic-parabolic type}, year={2014}, doi={10.1186/1687-2770-2014-22}, number={1}, volume={2014}, issn={1687-2770}, journal={Boundary Value Problems}, author={Denk, Robert and Seger, Tim}, note={Article Number: 22} }
Denk_280617.pdf | 207 |