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MARC 21

Distributions, Sobolev Spaces, Elliptic Equations
Tag	Description
006	$ a fot ::: 0:
020	$a9783037195420
084	$a35-xx$a46-xx$2msc
099	$aOnline Resource: EMS
100	$aHaroske, Dorothee D.,$eauthor.
245	$aDistributions, Sobolev Spaces, Elliptic Equations$h[EBook] /$cDorothee D. Haroske, Hans Triebel
260	$aZuerich, Switzerland :$bEuropean Mathematical Society Publishing House,$c2007
300	$a1 online resource (303 pages)
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aEMS Textbooks in Mathematics (ETB)
520	$aIt is the main aim of this book to develop at an accessible, moderate level an L2 theory for elliptic differential operators of second order on bounded smooth domains in Euclidean n-space, including a priori estimates for boundary-value problems in terms of (fractional) Sobolev spaces on domains and on their boundaries, together with a related spectral theory. The presentation is preceded by an introduction to the classical theory for the Laplace–Poisson equation, and some chapters providing required ingredients such as the theory of distributions, Sobolev spaces and the spectral theory in Hilbert spaces. The book grew out of two-semester courses the authors have given several times over a period of ten years at the Friedrich Schiller University of Jena. It is addressed to graduate students and mathematicians who have a working knowledge of calculus, measure theory and the basic elements of functional analysis (as usually covered by undergraduate courses) and who are seeking an accessible introduction to some aspects of the theory of function spaces and its applications to elliptic equations.
533	$nMode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aTriebel, Hans,$eauthor.
856	$uhttps://doi.org/10.4171/042
856	$3cover image$uhttps://www.ems-ph.org/img/books/triebel_mini.jpg