Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators. Lecture Notes in Mathematics; 1718.

Eberle, Andreas:

ISBN 10: 3540666281 / ISBN 13: 9783540666288

Editore: Berlin, Springer, 1999

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VIII, 262 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04171 9783540666288 Sprache: Englisch Gewicht in Gramm: 550.

Codice articolo 2490401

Dati bibliografici

• Titolo: Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators. Lecture Notes in Mathematics; 1718.
• Editore: Berlin, Springer
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 3540666281
• ISBN 13: 9783540666288
• Rilegatura: Softcover
• Peso: 550 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts.

Contenuti

Motivation and basic definitions: Uniqueness problems in various contexts.- L p uniqueness in finite dimensions.- Markov uniqueness.- Probabilistic aspects of L p and Markov uniqueness.- First steps in infinite dimensions.