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Modification of balayage spaces by transitions with application to coupling of PDE’s

Published online by Cambridge University Press:  22 January 2016

Wolfhard Hansen
Wolfhard Hansen*
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100 131, D – 33501 Bielefeld, Germany, hansen@mathematik.uni-bielefeld.de
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Abstract

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Modifications of balayage spaces are studied which, in probabilistic terms, correspond to killing and transitions (creation of mass combined with jumps). This is achieved by a modification of harmonic kernels for sufficiently small open sets. Applications to coupling of elliptic and parabolic partial differential equations of second order are discussed.

Keywords

31D0531B1031B3035J5535K50
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 169 , 2003 , pp. 77 - 118
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

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