Local and Nonlocal Robin Boundary Value Problems: A Stochastic and Analytic Approach - Couverture souple

Akhlil, Khalid

 
9783639864793: Local and Nonlocal Robin Boundary Value Problems: A Stochastic and Analytic Approach
Couverture souple
ISBN 10 : 3639864794 ISBN 13 : 9783639864793
Editeur : Scholars' Press, 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Dr. Khalid Akhlil is an Assistant professor of mathematics in the Polydisciplinary Faculty of Ouarzazate, Morocco. He started his doctoral researches in Agadir (Morocco) and then earned a German fellowship for a long research stay in Ulm. His main subjects of research are functional analysis, stochastic processes and fuzzy structures.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2016
Langue
anglais
ISBN 10 
3639864794
ISBN 13 
9783639864793
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
Personne responsable
non disponible