# Fractional Derivatives and Fractional Powers as Tools in Understanding Wentzell Boundary Value Problems for Pseudo-Differential Operators Generating Markov Processes

Fractional Calculus and Applied Analysis (2005)

- Volume: 8, Issue: 2, page 91-112
- ISSN: 1311-0454

## Access Full Article

top## Abstract

top## How to cite

topJacob, N., and Knopova, V.. "Fractional Derivatives and Fractional Powers as Tools in Understanding Wentzell Boundary Value Problems for Pseudo-Differential Operators Generating Markov Processes." Fractional Calculus and Applied Analysis 8.2 (2005): 91-112. <http://eudml.org/doc/11277>.

@article{Jacob2005,

abstract = {Mathematics Subject Classification: 26A33, 31C25, 35S99, 47D07.Wentzell boundary value problem for pseudo-differential operators generating Markov processes but not satisfying the transmission condition are not well understood. Studying fractional derivatives and fractional powers of such operators gives some insights in this problem. Since an L^p – theory for such operators will provide a helpful tool we investigate the L^p –domains of certain model operators.* This work is partially supported by EPSRC – Grant No GR/R40241/01.},

author = {Jacob, N., Knopova, V.},

journal = {Fractional Calculus and Applied Analysis},

keywords = {26A33; 31C25; 35S99; 47D07},

language = {eng},

number = {2},

pages = {91-112},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Fractional Derivatives and Fractional Powers as Tools in Understanding Wentzell Boundary Value Problems for Pseudo-Differential Operators Generating Markov Processes},

url = {http://eudml.org/doc/11277},

volume = {8},

year = {2005},

}

TY - JOUR

AU - Jacob, N.

AU - Knopova, V.

TI - Fractional Derivatives and Fractional Powers as Tools in Understanding Wentzell Boundary Value Problems for Pseudo-Differential Operators Generating Markov Processes

JO - Fractional Calculus and Applied Analysis

PY - 2005

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 8

IS - 2

SP - 91

EP - 112

AB - Mathematics Subject Classification: 26A33, 31C25, 35S99, 47D07.Wentzell boundary value problem for pseudo-differential operators generating Markov processes but not satisfying the transmission condition are not well understood. Studying fractional derivatives and fractional powers of such operators gives some insights in this problem. Since an L^p – theory for such operators will provide a helpful tool we investigate the L^p –domains of certain model operators.* This work is partially supported by EPSRC – Grant No GR/R40241/01.

LA - eng

KW - 26A33; 31C25; 35S99; 47D07

UR - http://eudml.org/doc/11277

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.