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Pseudo Differential Operators & Markov Processes: Markov processes and applications
Niels Jacob
出版Imperial College Press, 2001
主題Mathematics / Differential Equations / General
ISBN18609456869781860945687
URLhttp://books.google.com.hk/books?id=Pq_WRzogjBwC&hl=&source=gbs_api
EBookSAMPLE
註釋This volume concentrates on how to construct a Markov process by starting with a suitable pseudo-differential operator. Feller processes, Hunt processes associated with Lp-sub-Markovian semigroups and processes constructed by using the Martingale problem are at the center of the considerations. The potential theory of these processes is further developed and applications are discussed. Due to the non-locality of the generators, the processes are jump processes and their relations to Levy processes are investigated. Special emphasis is given to the symbol of a process, a notion which generalizes that of the characteristic exponent of a Levy process and provides a natural link to pseudo-differential operator theory.