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000756024 020__ $$a9783319342191$$q(electronic book)
000756024 020__ $$a3319342193$$q(electronic book)
000756024 020__ $$z9783319342184
000756024 0247_ $$a10.1007/978-3-319-34219-1$$2doi
000756024 035__ $$aSP(OCoLC)ocn951975239
000756024 035__ $$aSP(OCoLC)951975239
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000756024 049__ $$aISEA
000756024 050_4 $$aQA377
000756024 08204 $$a515/.353$$223
000756024 1001_ $$aJüngel, Ansgar,$$d1966-$$eauthor.
000756024 24510 $$aEntropy methods for diffusive partial differential equations$$h[electronic resource] /$$cAnsgar Jüngel.
000756024 264_1 $$aSwitzerland :$$bSpringer,$$c2016.
000756024 300__ $$a1 online resource (viii, 139 pages) :$$bcolor illustrations.
000756024 336__ $$atext$$btxt$$2rdacontent
000756024 337__ $$acomputer$$bc$$2rdamedia
000756024 338__ $$aonline resource$$bcr$$2rdacarrier
000756024 4901_ $$aSpringerBriefs in mathematics
000756024 504__ $$aIncludes bibliographical references and index.
000756024 5050_ $$a1 Introduction -- 2 Fokker-Planck equations -- 3 Systematic Integration by Parts -- 4 Cross-Diffusion Systems -- 5 Towards Discrete Entropy Methods -- 6 Appendix A: Technical Tools.
000756024 506__ $$aAccess limited to authorized users.
000756024 520__ $$aThis book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.
000756024 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 28, 2016).
000756024 650_0 $$aDifferential equations, Partial.
000756024 650_0 $$aEntropy.
000756024 77608 $$iPrint version:$$z9783319342184
000756024 830_0 $$aSpringerBriefs in mathematics.
000756024 852__ $$bebk
000756024 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-34219-1$$zOnline Access$$91397441.1
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000756024 980__ $$aEBOOK
000756024 980__ $$aBIB
000756024 982__ $$aEbook
000756024 983__ $$aOnline
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