Pseudodifferential operators with rough negative definite symbols

DOI10.1007/s00020-010-1755-1zbMath1207.47049OpenAlexW2043301426MaRDI QIDQ989953

Alexander Potrykus

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1755-1

zbMATH Keywords

asymptotic expansionspseudodifferential operatorssymbolic calculusFeller semigroupsrough symbols

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) One-parameter semigroups and linear evolution equations (47D06) Transition functions, generators and resolvents (60J35) Pseudodifferential operators (47G30)

Cites Work

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• Approximating a Feller semigroup by using the Yosida approximation of the symbol of its generator
• A symbolic calculus and a parametrix construction for pseudodifferential operators with non-smooth negative definite symbols
• A symbolic calculus for pseudo differential operators generating Feller semigroups
• The martingale problem for a class of pseudo differential operators
• Feller semigroups, Dirichlet forms, and pseudo differential operators
• Pseudo differential operators with negative definite symbols and the martingale problem
• A PARAMETER-DEPENDENT SYMBOLIC CALCULUS FOR PSEUDO-DIFFERENTIAL OPERATORS WITH NEGATIVE-DEFINITE SYMBOLS
• Application of the Weyl–Hörmander calculus to generators of Feller semigroups

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