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- Title
On the Log-Laplace Equation for Nonlocal Operators Generating Sub-Markovian Semigroups.
- Authors
Jacob, N.; Moroz, V.
- Abstract
We consider the semilinear Cauchy problem for a class of pseudo-differential operators generating sub-Markovian semigroups. Solutions of such problems with negative definite nonlinearity play an important role in constructing branching measure-valued processes. We establish local existence and uniqueness of solutions in the context of the Dirichlet space associated to the problem. Comparison and global properties of solutions are also studied.
- Publication
Applied Mathematics & Optimization, 2002, Vol 45, Issue 2, p237
- ISSN
0095-4616
- Publication type
Academic Journal
- DOI
10.1007/s00245-001-0037-3