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Viser: Boundary Value Problems and Markov Processes - Functional Analysis Methods for Markov Processes
Boundary Value Problems and Markov Processes
Functional Analysis Methods for Markov Processes
Kazuaki Taira
(2020)
Sprog: Engelsk
Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (Juli 2020)
- ISBN: 9783030487874
Part I Analytic and Feller Semigroups and Markov Processes
. - Analytic Semigroups. - Markov Processes and Feller Semigroups. -
Part II Pseudo-Differential Operators and Elliptic Boundary Value Problems. - Lp Theory of Pseudo-Differential Operators. - Boutet de Monvel Calculus. - Lp Theory of Elliptic Boundary Value Problems. -
Part III Analytic Semigroups in Lp Sobolev Spaces. - Proof of Theorem
1.2. - A Priori Estimates. - Proof of Theorem
1.4. -
Part IV Waldenfels Operators, Boundary Operators and Maximum Principles. - Elliptic Waldenfels Operators and Maximum Principles. - Boundary Operators and Boundary Maximum Principles. -
Part V Feller Semigroups for Elliptic Waldenfels Operators. - Proof of Theorem
1.5 -
Part (i). - Proofs of Theorem
1.5,
Part (ii) and Theorem
1.6. - Proofs of Theorems
1.8,
1.9,
1.10 and
1.11. - Path Functions of Markov Processes via Semigroup Theory. -
Part VI Concluding Remarks
. - The State-of-the-Art of Generation Theorems for Feller Semigroups.