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

Jacob, 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 -