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Sobolev Spaces - with Applications to Elliptic Partial Differential Equations (Paperback, Softcover reprint of the original 2nd ed. 2011)
Loot Price: R5,123
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Sobolev Spaces - with Applications to Elliptic Partial Differential Equations (Paperback, Softcover reprint of the original 2nd ed. 2011)
Series: Grundlehren der mathematischen Wissenschaften, 342
Expected to ship within 10 - 15 working days
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Sobolev spaces play an outstanding role in modern analysis, in
particular, in the theory of partial differential equations and its
applications in mathematical physics. They form an indispensable
tool in approximation theory, spectral theory, differential
geometry etc. The theory of these spaces is of interest in itself
being a beautiful domain of mathematics. The present volume
includes basics on Sobolev spaces, approximation and extension
theorems, embedding and compactness theorems, their relations with
isoperimetric and isocapacitary inequalities, capacities with
applications to spectral theory of elliptic differential operators
as well as pointwise inequalities for derivatives. The selection of
topics is mainly influenced by the author's involvement in their
study, a considerable part of the text is a report on his work in
the field. Part of this volume first appeared in German as three
booklets of Teubner-Texte zur Mathematik (1979, 1980). In the
Springer volume "Sobolev Spaces", published in English in 1985, the
material was expanded and revised. The present 2nd edition is
enhanced by many recent results and it includes new applications to
linear and nonlinear partial differential equations. New historical
comments, five new chapters and a significantly augmented list of
references aim to create a broader and modern view of the area.
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