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On the Dirichlet Problem for Pseudodifferential Operators Generating Feller Semigroups

✍ Scribed by Walter Hoh; Niels Jacob

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
1018 KB
Volume
137
Category
Article
ISSN
0022-1236

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✦ Synopsis

For pseudo-differential operators generating symmetric Feller semigroups we discuss several approaches to the Dirichlet problem and show that under suitable regularity assumptions the solutions obtained by different methods do all coincide. In particular, we give a reasonable analytic interpretation to a probabilistic approach to the Dirichlet problem.

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