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


Autoria(s): Jacob, N.; Knopova, V.
Data(s)

27/08/2010

27/08/2010

2005

Resumo

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.

Identificador

Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 91p-112p

1311-0454

http://hdl.handle.net/10525/1248

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Fractional Derivatives #Fractional Powers #Pseudo-Differential Operators #Markov Processes #26A33 #31C25 #35S99 #47D07
Tipo

Article