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Hodge Theory In The Sobolev Topology For The De Rham Complex


Hodge Theory In The Sobolev Topology For The De Rham Complex
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Hodge Theory In The Sobolev Topology For The De Rham Complex


Hodge Theory In The Sobolev Topology For The De Rham Complex
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Author : Luigi Fontana
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Hodge Theory In The Sobolev Topology For The De Rham Complex written by Luigi Fontana 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 1998 with Mathematics categories.


In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. It features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems; theorems completely explained and proved; and new geometric tools for differential analysis on domains and manifolds.



Hodge Theory In The Sobolev Topology For The De Rham Complex


Hodge Theory In The Sobolev Topology For The De Rham Complex
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Author : Luigi Fontana
language : en
Publisher:
Release Date : 1995

Hodge Theory In The Sobolev Topology For The De Rham Complex written by Luigi Fontana and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.




Hodge Theory In The Sobolev Topology For The De Rham Complex


Hodge Theory In The Sobolev Topology For The De Rham Complex
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Author : Luigi Fontana
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11

Hodge Theory In The Sobolev Topology For The De Rham Complex written by Luigi Fontana and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with MATHEMATICS categories.


In this text, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the L2 topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain.



Function Spaces


Function Spaces
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Author : Krzysztof Jarosz
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Function Spaces written by Krzysztof Jarosz 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 1999 with Mathematics categories.


This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, $Lp$ spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm.



The Siegel Modular Variety Of Degree Two And Level Four Cohomology Of The Siegel Modular Group Of Degree Two And Level Four


The Siegel Modular Variety Of Degree Two And Level Four Cohomology Of The Siegel Modular Group Of Degree Two And Level Four
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Author : Ronnie Lee
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

The Siegel Modular Variety Of Degree Two And Level Four Cohomology Of The Siegel Modular Group Of Degree Two And Level Four written by Ronnie Lee 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 1998 with Mathematics categories.


Enthält: The Siegel modular variety of degree two and level four / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub.



Abelian Galois Cohomology Of Reductive Groups


Abelian Galois Cohomology Of Reductive Groups
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Author : Mikhail Borovoi
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Abelian Galois Cohomology Of Reductive Groups written by Mikhail Borovoi 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 1998 with Mathematics categories.


In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of characteristic 0 to the category of abelian groups. The abelian Galois cohomology and the abelianization map ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field



Morava K Theories And Localisation


Morava K Theories And Localisation
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Author : Mark Hovey
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Morava K Theories And Localisation written by Mark Hovey 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 1999 with Mathematics categories.


This book is intended for graduate students and research mathematicians working in group theory and generalizations.



Combinatorial Theory Of The Free Product With Amalgamation And Operator Valued Free Probability Theory


Combinatorial Theory Of The Free Product With Amalgamation And Operator Valued Free Probability Theory
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Author : Roland Speicher
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Combinatorial Theory Of The Free Product With Amalgamation And Operator Valued Free Probability Theory written by Roland Speicher 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 1998 with Mathematics categories.


Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of ``freeness''. This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.



Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps


Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum 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 1999 with Mathematics categories.


The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea



Time Dependent Subdifferential Evolution Inclusions And Optimal Control


Time Dependent Subdifferential Evolution Inclusions And Optimal Control
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Author : Shouchuan Hu
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Time Dependent Subdifferential Evolution Inclusions And Optimal Control written by Shouchuan Hu 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 1998 with Mathematics categories.


This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analysed.