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The purpose of this book is to provide a careful and accessible account along modern lines of the subject which the title deals, as well as to discuss problems of current interest in the field. More precisely this book is devoted to the functional-analytic approach to a class of degenerate boundary value problems for second-order elliptic integro-differential operators which includes as particular cases the Dirichlet and Robin problems. This class of boundary value problems provides a new example of analytic semigroups. As an application, we construct a strong Markov process corresponding to such a diffusion phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it dies at the time when it reaches the set where the particle is definitely absorbed.
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Previews available in: English
Edition | Availability |
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1
Semigroups, Boundary Value Problems and Markov Processes
Aug 23, 2016, Springer
paperback
3662517590 9783662517598
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2
Semigroups, Boundary Value Problems and Markov Processes
2014, Springer
in English
3662436965 9783662436967
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3
Semigroups, Boundary Value Problems and Markov Processes
Aug 08, 2014, Springer
hardcover
3662436957 9783662436950
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4
Semigroups, Boundary Value Problems and Markov Processes
2004, Springer Berlin Heidelberg
electronic resource /
in English
3642073719 9783642073717
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