Type of Publication: | Working Paper/Technical Report |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-241650 |
Author: | Denk, Robert; Seger, Tim |
Year of publication: | 2013 |
Series: | Konstanzer Schriften in Mathematik ; 318 |
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: | In Copyright |
Bibliography of Konstanz: | Yes |
DENK, Robert, Tim SEGER, 2013. Lp-estimates for a transmission problem of mixed elliptic-parabolic type
@techreport{Denk2013estim-24165, series={Konstanzer Schriften in Mathematik}, title={Lp-estimates for a transmission problem of mixed elliptic-parabolic type}, year={2013}, number={318}, author={Denk, Robert and Seger, Tim} }
Seger_241650.pdf | 216 |