Bookcover of Local and Nonlocal Robin Boundary Value Problems
Booktitle:

Local and Nonlocal Robin Boundary Value Problems

A Stochastic and Analytic Approach

Scholars' Press (2016-02-17 )

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ISBN-13:

978-3-639-86479-3

ISBN-10:
3639864794
EAN:
9783639864793
Book language:
English
Blurb/Shorttext:
Using a capacity approach, and the theory of measure's perturbation of Dirichlet forms, we give the probabilistic representation of the General Robin boundary value problems on an arbitrary domain. In the first time we study the case of positive smooth measures, and then we focus on signed smooth measures case by defining a special Kato class of measures. Some other topics related to the first one are also studied. In particular, we aim to characterize all semi-groups sandwiched between Dirichlet and Neumann ones. In addition we characterize the closability of a general non local Robin boundary value problem by defining a new notion of admissibility and we study the positivity of the non-local Robin Laplacian involving bounded operators.
Publishing house:
Scholars' Press
Website:
http://www.scholars-press.com
By (author) :
Khalid Akhlil
Number of pages:
112
Published at:
2016-02-17
Stock:
Available
Category:
Mathematics
Price:
59.90 €
Keywords:
stochastic analysis, Robin boundary conditions, partially reflected Brownian motion

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