Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1248

 Title: Fractional Derivatives and Fractional Powers as Tools in Understanding Wentzell Boundary Value Problems for Pseudo-Differential Operators Generating Markov Processes Authors: Jacob, N.Knopova, V. Keywords: Fractional DerivativesFractional PowersPseudo-Differential OperatorsMarkov Processes26A3331C2535S9947D07 Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 91p-112p Abstract: 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. Description: Mathematics Subject Classification: 26A33, 31C25, 35S99, 47D07. URI: http://hdl.handle.net/10525/1248 ISSN: 1311-0454 Appears in Collections: 2005

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