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Author : Vladimir G. Mazʹi︠a︡
Publisher :
Page : 11 pages
File Size : 28,61 MB
Release : 1999
Category :
ISBN :
Author : Vladimir G. Mazya
Publisher :
Page : 11 pages
File Size : 33,63 MB
Release : 2000
Category :
ISBN :
Author : Vladimir Maz'ya
Publisher : Springer Science & Business Media
Page : 615 pages
File Size : 35,68 MB
Release : 2008-10-13
Category : Mathematics
ISBN : 3540694927
The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Author : Vladimir Maz'ya
Publisher : Springer
Page : 614 pages
File Size : 37,70 MB
Release : 2008-09-30
Category : Mathematics
ISBN : 9783540694908
The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Author : Armand Wirgin
Publisher : World Scientific
Page : 301 pages
File Size : 33,3 MB
Release : 2003-01-13
Category : Mathematics
ISBN : 9814486744
This book concerns the mathematical analysis — modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc. — involved in predicting complex mechanical/acoustical behavior/response and identifying or optimizing mechanical/acoustical systems giving rise to phenomena that are either observed or aimed at. The forward problems consist in solving generally coupled, nonlinear systems of integral or partial (integer or fractional) differential equations with nonconstant coefficients. The identification/optimization of the latter, of the driving terms and/or of the boundary conditions, all of which are often affected by random perturbations, forms the class of related inverse or control problems.
Author : Armand Wirgin
Publisher : World Scientific
Page : 301 pages
File Size : 35,90 MB
Release : 2002
Category : Science
ISBN : 981238264X
At head of title: Proceedings of the International Conference to celebrate Robert P. Gilbert's 70th birthday.
Author : Vladimir Maz'ya
Publisher : Springer Science & Business Media
Page : 882 pages
File Size : 44,17 MB
Release : 2011-02-11
Category : Mathematics
ISBN : 3642155642
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.
Author : Hans Triebel
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 43,23 MB
Release : 1992-04-02
Category : Science
ISBN : 9783764326395
Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH
Author :
Publisher :
Page : 700 pages
File Size : 40,68 MB
Release : 2000
Category : Geometric analysis
ISBN :
Author : Juha Kinnunen
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 38,34 MB
Release : 2021-08-02
Category : Education
ISBN : 1470465752
This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse Hölder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p p-Laplace equation and the use of maximal function techniques is this context are discussed. The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.