Boundary Value Problems and Markov Processes 9780387549965, 038754996X, 354054996X
Focussing on the interrelations of the subjects of Markov processes, analytic semigroups and elliptic boundary value pro
302 59 716KB
English Pages 146 Year 1991
Table of contents :
Introduction and results....Pages 1-9
Semigroup theory....Pages 10-22
L p theory of pseudo-differential operators....Pages 23-40
L p approach to elliptic boundary value problems....Pages 41-49
Proof of Theorem 1....Pages 50-54
A priori estimates....Pages 55-60
Proof of Theorem 2....Pages 61-69
Proof of Theorem 3 - Part (i)....Pages 70-80
Proof of Theorem 3 - Part (ii)....Pages 81-104
Application to semilinear initial-boundary value problems....Pages 105-111
Introduction and results....Pages 1-9
Semigroup theory....Pages 10-22
L p theory of pseudo-differential operators....Pages 23-40
L p approach to elliptic boundary value problems....Pages 41-49
Proof of Theorem 1....Pages 50-54
A priori estimates....Pages 55-60
Proof of Theorem 2....Pages 61-69
Proof of Theorem 3 - Part (i)....Pages 70-80
Proof of Theorem 3 - Part (ii)....Pages 81-104
Application to semilinear initial-boundary value problems....Pages 105-111
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