Lp-estimates for a transmission problem of mixed elliptic-parabolic type

Denk, Robert; Seger, Tim

L^p-estimates for a transmission problem of mixed elliptic-parabolic type

Publikationstyp:	Working Paper/Technical Report
URI (zitierfähiger Link):	http://nbn-resolving.de/urn:nbn:de:bsz:352-241650
Autor/innen:	Denk, Robert; Seger, Tim
Erscheinungsjahr:	2013
Schriftenreihe:	Konstanzer Schriften in Mathematik ; 318
Zusammenfassung:	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 L^p-Sobolev spaces.
MSC-Klassifikation:	35B45, 35M12
Fachgebiet (DDC):	510 Mathematik
Schlagwörter:	Transmission problem, elliptic-parabolic equation, a priori estimates
Link zur Lizenz:	Nutzungsbedingungen
Universitätsbibliographie:	Ja

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DENK, Robert, Tim SEGER, 2013. L^p-estimates for a transmission problem of mixed elliptic-parabolic type

@techreport{Denk2013estim-24165, series={Konstanzer Schriften in Mathematik}, title={L^p-estimates for a transmission problem of mixed elliptic-parabolic type}, year={2013}, number={318}, author={Denk, Robert and Seger, Tim} }

2013 Seger, Tim Seger, Tim Denk, Robert Denk, Robert 2013-08-09T08:22:47Z eng terms-of-use Lp-estimates for a transmission problem of mixed elliptic-parabolic type 2013-08-09T08:22:47Z 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.