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001437202 001__ 1437202
001437202 003__ OCoLC
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001437202 019__ $$a1253477210$$a1262685041$$a1284936894
001437202 020__ $$a9783030751395$$q(electronic book)
001437202 020__ $$a3030751392$$q(electronic book)
001437202 020__ $$a9783030751401$$q(print)
001437202 020__ $$a3030751406
001437202 020__ $$z3030751384$$q(print)
001437202 020__ $$z9783030751388$$q(print)
001437202 0247_ $$a10.1007/978-3-030-75139-5$$2doi
001437202 035__ $$aSP(OCoLC)1255237888
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001437202 049__ $$aISEA
001437202 050_4 $$aQA323$$b.S36 2021
001437202 08204 $$a515/.782$$223
001437202 1001_ $$aSchneider, Cornelia$$c(Mathematician),$$eauthor.
001437202 24510 $$aBeyond Sobolev and Besov :$$bregularity of solutions of PDEs and their traces in function spaces /$$cCornelia Schneider.
001437202 264_1 $$aCham, Switzeland :$$bSpringer,$$c[2021]
001437202 300__ $$a1 online resource (339 pages)
001437202 336__ $$atext$$btxt$$2rdacontent
001437202 337__ $$acomputer$$bc$$2rdamedia
001437202 338__ $$aonline resource$$bcr$$2rdacarrier
001437202 347__ $$atext file
001437202 347__ $$bPDF
001437202 4901_ $$aLecture Notes in Mathematics ;$$vvolume 2291
001437202 504__ $$aIncludes bibliographical references and index.
001437202 506__ $$aAccess limited to authorized users.
001437202 520__ $$aThis book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes. Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov and Triebelizorkin spaces, but also in quite general smoothness Morrey spaces. The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are looking for a comprehensive treatment of the above listed topics.
001437202 588__ $$aOnline resource; title from digital title page (viewed on June 15, 2021).
001437202 650_0 $$aSobolev spaces.
001437202 650_0 $$aFunction spaces.
001437202 650_6 $$aEspaces de Sobolev.
001437202 650_6 $$aEspaces fonctionnels.
001437202 655_0 $$aElectronic books.
001437202 77608 $$iPrint version:$$aSchneider, Cornelia.$$tBeyond Sobolev and Besov.$$dCham : Springer International Publishing AG, ©2021$$z9783030751388
001437202 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2291.
001437202 852__ $$bebk
001437202 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-75139-5$$zOnline Access$$91397441.1
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001437202 980__ $$aBIB
001437202 980__ $$aEBOOK
001437202 982__ $$aEbook
001437202 983__ $$aOnline
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