000 | 03242nam a22004815i 4500 | ||
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001 | 978-3-540-46635-2 | ||
003 | DE-He213 | ||
005 | 20190213151913.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540466352 _9978-3-540-46635-2 |
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024 | 7 |
_a10.1007/BFb0092029 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aTaira, Kazuaki. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aIX, 132 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1499 |
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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 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0092029 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
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