02500nam 22004215a 450 991015193580332120091109150325.03-03719-542-810.4171/042(CKB)3710000000953817(CH-001817-3)65-091109(PPN)178155292(EXLCZ)99371000000095381720091109j20071121 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierDistributions, Sobolev Spaces, Elliptic Equations[electronic resource] /Dorothee D. Haroske, Hans TriebelZuerich, Switzerland European Mathematical Society Publishing House20071 online resource (303 pages)EMS Textbooks in Mathematics (ETB)It 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.Differential equationsbicsscPartial differential equationsmscFunctional analysismscDifferential equationsPartial differential equationsFunctional analysis35-xx46-xxmscHaroske Dorothee D.67414Triebel Hansch0018173BOOK9910151935803321Distributions, Sobolev Spaces, Elliptic Equations2567866UNINA