Bunke, Ulrich
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The author introduces boundary conditions for Dirac operators giving selfadjoint extensions such that the Hamiltonians define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators associated to a pair of Dirac operators coinciding on cocompact sets.
Mikhail Borsuk (2007)
Applicationes Mathematicae
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We investigate the behavior of weak solutions to the transmission problem for the Laplace operator with N different media in a neighborhood of a boundary conical point. We establish a precise exponent of the decreasing rate of the solution.
S. Rempel, Bert-Wolfgang Schultze (1982)
Journées équations aux dérivées partielles
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Martin Schechter (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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I. E. Sharkawi (1977)
Matematički Vesnik
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Stefanov, Plamen, Uhlmann, Gunther (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Daniel Tataru (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ingo Witt (2003)
Banach Center Publications
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For a class of degenerate pseudodifferential operators, local parametrices are constructed. This is done in the framework of a pseudodifferential calculus upon adding conditions of trace and potential type, respectively, along the boundary on which the operators degenerate.