Fundamental Solutions And Local Solvability For Nonsmooth H Rmander S Operators


Fundamental Solutions And Local Solvability For Nonsmooth H Rmander S Operators
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Spectral Methods In Matlab


Spectral Methods In Matlab
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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2000-07-01

Spectral Methods In Matlab written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-01 with Mathematics categories.


Mathematics of Computing -- Numerical Analysis.



Tools For Pde


Tools For Pde
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Author : Michael E. Taylor
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Tools For Pde written by Michael E. Taylor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Differential equations, Partial categories.


Developing three related tools that are useful in the analysis of partial differential equations (PDEs) arising from the classical study of singular integral operators, this text considers pseudodifferential operators, paradifferential operators, and layer potentials.



Sobolev Spaces


Sobolev Spaces
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Author : Vladimir Maz'ya
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-11

Sobolev Spaces written by Vladimir Maz'ya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-11 with Mathematics categories.


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.



Spectra And Pseudospectra


Spectra And Pseudospectra
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Author : Lloyd N. Trefethen
language : en
Publisher: Princeton University Press
Release Date : 2005-08-07

Spectra And Pseudospectra written by Lloyd N. Trefethen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-07 with Mathematics categories.


Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.



The Analysis Of Linear Partial Differential Operators Iii


The Analysis Of Linear Partial Differential Operators Iii
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Author : Lars Hörmander
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-15

The Analysis Of Linear Partial Differential Operators Iii written by Lars Hörmander and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-15 with Mathematics categories.


From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987. "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987.



Degenerate Elliptic Equations


Degenerate Elliptic Equations
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Author : Serge Levendorskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Degenerate Elliptic Equations written by Serge Levendorskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Grding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.



Elliptic And Parabolic Equations


Elliptic And Parabolic Equations
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Author : Joachim Escher
language : en
Publisher: Springer
Release Date : 2015-06-04

Elliptic And Parabolic Equations written by Joachim Escher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Mathematics categories.


The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.



Smoothings Of Piecewise Linear Manifolds


Smoothings Of Piecewise Linear Manifolds
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Author : Morris W. Hirsch
language : en
Publisher: Princeton University Press
Release Date : 1974-10-21

Smoothings Of Piecewise Linear Manifolds written by Morris W. Hirsch and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-10-21 with Mathematics categories.


The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.



Theory Of Multipliers In Spaces Of Differentiable Functions


Theory Of Multipliers In Spaces Of Differentiable Functions
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Author : V. G. Mazʹi︠a︡
language : en
Publisher: Pitman Publishing
Release Date : 1985

Theory Of Multipliers In Spaces Of Differentiable Functions written by V. G. Mazʹi︠a︡ and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.




Numerical Linear Algebra


Numerical Linear Algebra
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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2022-06-17

Numerical Linear Algebra written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-17 with Mathematics categories.


Since its original appearance in 1997, Numerical Linear Algebra has been a leading textbook in its field, used in universities around the world. It is noted for its 40 lecture-sized short chapters and its clear and inviting style. It is reissued here with a new foreword by James Nagy and a new afterword by Yuji Nakatsukasa about subsequent developments.