Rearrangements and Convexity of Level Sets in PDE

Rearrangements and Convexity of Level Sets in PDE PDF Author: Bernhard Kawohl
Publisher: Springer
ISBN: 354039639X
Category : Mathematics
Languages : en
Pages : 141

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Book Description

Rearrangements and Convexity of Level Sets in PDE

Rearrangements and Convexity of Level Sets in PDE PDF Author: Bernhard Kawohl
Publisher: Springer
ISBN: 354039639X
Category : Mathematics
Languages : en
Pages : 141

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Book Description


Partial Differential Equations

Partial Differential Equations PDF Author: J. Necas
Publisher: Routledge
ISBN: 1351425862
Category : Mathematics
Languages : en
Pages : 364

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Book Description
As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs). This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control. The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.

Geometry of PDEs and Related Problems

Geometry of PDEs and Related Problems PDF Author: Xavier Cabré
Publisher: Springer
ISBN: 3319951866
Category : Mathematics
Languages : en
Pages : 207

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Book Description
The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19–23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics.

Convex and Discrete Geometry

Convex and Discrete Geometry PDF Author: Peter M. Gruber
Publisher: Springer Science & Business Media
ISBN: 3540711333
Category : Mathematics
Languages : en
Pages : 590

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Book Description
Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.

Handbook of Differential Equations: Stationary Partial Differential Equations

Handbook of Differential Equations: Stationary Partial Differential Equations PDF Author: Michel Chipot
Publisher: Elsevier
ISBN: 0080557317
Category : Mathematics
Languages : en
Pages : 618

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Book Description
A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. - Written by well-known experts in the field - Self contained volume in series covering one of the most rapid developing topics in mathematics - Informed and thoroughly updated for students, academics and researchers

Fourth Summer School in Analysis and Mathematical Physics

Fourth Summer School in Analysis and Mathematical Physics PDF Author: Carlos Villegas-Blas
Publisher: American Mathematical Soc.
ISBN: 0821840649
Category : Mathematics
Languages : en
Pages : 161

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Book Description
This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autonoma de Mexico, Cuernavaca in May 2005. The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matter, respectively. These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.

Partial Differential Equations of Elliptic Type

Partial Differential Equations of Elliptic Type PDF Author: Angelo Alvino
Publisher: Cambridge University Press
ISBN: 9780521460484
Category : Mathematics
Languages : en
Pages : 248

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Book Description
This is a conference proceedings volume covering the latest advances in partial differential equations of elliptic type. All workers on partial differential equations will find this book contains much valuable information.

Hardy Operators, Function Spaces and Embeddings

Hardy Operators, Function Spaces and Embeddings PDF Author: David E. Edmunds
Publisher: Springer Science & Business Media
ISBN: 3662077310
Category : Mathematics
Languages : en
Pages : 334

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Book Description
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries. The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains. This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.

Differential Equations with Applications to Mathematical Physics

Differential Equations with Applications to Mathematical Physics PDF Author: W. F. Ames
Publisher: Academic Press
ISBN: 008095877X
Category : Computers
Languages : en
Pages : 364

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Book Description
Differential Equations with Applications to Mathematical Physics

Inequalities

Inequalities PDF Author: Everitt
Publisher: CRC Press
ISBN: 9780824784881
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Proceedings of an international conference organized by the London Mathematical Society, held July 1987 at the U. of Birmingham, and dominated by the ghosts of Hardy, Littlewood and Polya, whose Inequalities (still the primary reference in the field) appeared in 1934. Thirteen essays summarize subse