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001 978-3-540-46635-2
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007 cr nn 008mamaa
008 121227s1991 gw | s |||| 0|eng d
020 _a9783540466352
_9978-3-540-46635-2
024 7 _a10.1007/BFb0092029
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aTaira, Kazuaki.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aBoundary Value Problems and Markov Processes
_h[electronic resource] /
_cby Kazuaki Taira.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1991.
300 _aIX, 132 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1499
505 0 _aand results -- Semigroup theory -- L p theory of pseudo-differential operators -- L p approach to elliptic boundary value problems -- Proof of Theorem 1 -- A priori estimates -- Proof of Theorem 2 -- Proof of Theorem 3 - Part (i) -- Proof of Theorem 3 - Part (ii) -- Application to semilinear initial-boundary value problems.
520 _aFocussing on the interrelations of the subjects of Markov processes, analytic semigroups and elliptic boundary value problems, this monograph provides a careful and accessible exposition of functional methods in stochastic analysis. The author studies a class of boundary value problems for second-order elliptic differential operators which includes as particular cases the Dirichlet and Neumann problems, and proves that this class of boundary value problems provides a new example of analytic semigroups both in the Lp topology and in the topology of uniform convergence. As an application, one can construct analytic semigroups corresponding to the diffusion phenomenon of a Markovian particle moving continuously in the state space until it "dies", at which time it reaches the set where the absorption phenomenon occurs. A class of initial-boundary value problems for semilinear parabolic differential equations is also considered. This monograph will appeal to both advanced students and researchers as an introduction to the three interrelated subjects in analysis, providing powerful methods for continuing research.
650 0 _aGlobal analysis (Mathematics).
650 0 _aDistribution (Probability theory.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642016783
776 0 8 _iPrinted edition:
_z9783540549963
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1499
856 4 0 _uhttps://doi.org/10.1007/BFb0092029
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c12282
_d12282