Axially Symmetric Solutions of Elliptic Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Axially Symmetric Solutions of Elliptic Differential Equations by : Richard C. MacCamy

Download or read book Axially Symmetric Solutions of Elliptic Differential Equations written by Richard C. MacCamy and published by . This book was released on 1958 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation is made of the representation of solutions of the axially-symmetric elliptic equations. The representations are derived by exploiting the connection between such equations and singular initial value problems for hyperbolic equations. The result is a correspondence between solutions of the elliptic equations and functions of a complex variable. Certain boundary-value problems for the elliptic equations are solved explicitly or semi-explicitly with the aid of these representations.

Axially Symmetric Solutions of Elliptic Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Axially Symmetric Solutions of Elliptic Differential Equations by : Richard C. MacCamy

Download or read book Axially Symmetric Solutions of Elliptic Differential Equations written by Richard C. MacCamy and published by . This book was released on 1958 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation is made of the representation of solutions of the axially-symmetric elliptic equations. The representations are derived by exploiting the connection between such equations and singular initial value problems for hyperbolic equations. The result is a correspondence between solutions of the elliptic equations and functions of a complex variable. Certain boundary-value problems for the elliptic equations are solved explicitly or semi-explicitly with the aid of these representations.

An Introduction to Maximum Principles and Symmetry in Elliptic Problems

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Publisher : Cambridge University Press
ISBN 13 : 0521461952
Total Pages : 352 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis An Introduction to Maximum Principles and Symmetry in Elliptic Problems by : L. E. Fraenkel

Download or read book An Introduction to Maximum Principles and Symmetry in Elliptic Problems written by L. E. Fraenkel and published by Cambridge University Press. This book was released on 2000-02-25 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints.

Fundamental Solutions for a Class of Singular Equations

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ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fundamental Solutions for a Class of Singular Equations by : R. J. Weinacht

Download or read book Fundamental Solutions for a Class of Singular Equations written by R. J. Weinacht and published by . This book was released on 1982 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stable Solutions of Elliptic Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 1420066544
Total Pages : 337 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Stable Solutions of Elliptic Partial Differential Equations by : Louis Dupaigne

Download or read book Stable Solutions of Elliptic Partial Differential Equations written by Louis Dupaigne and published by CRC Press. This book was released on 2011-03-15 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

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Publisher :
ISBN 13 : 9783319984087
Total Pages : pages
Book Rating : 4.9/5 (84 download)

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Book Synopsis Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations by : Messoud Efendiev

Download or read book Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations written by Messoud Efendiev and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.

Numerical Solution of Elliptic Differential Equations by Reduction to the Interface

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Publisher : Springer Science & Business Media
ISBN 13 : 3642187773
Total Pages : 304 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Solution of Elliptic Differential Equations by Reduction to the Interface by : Boris N. Khoromskij

Download or read book Numerical Solution of Elliptic Differential Equations by Reduction to the Interface written by Boris N. Khoromskij and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade essential progress has been achieved in the analysis and implementation of multilevel/rnultigrid and domain decomposition methods to explore a variety of real world applications. An important trend in mod ern numerical simulations is the quick improvement of computer technology that leads to the well known paradigm (see, e. g. , [78,179]): high-performance computers make it indispensable to use numerical methods of almost linear complexity in the problem size N, to maintain an adequate scaling between the computing time and improved computer facilities as N increases. In the h-version of the finite element method (FEM), the multigrid iteration real izes an O(N) solver for elliptic differential equations in a domain n c IRd d with N = O(h- ) , where h is the mesh parameter. In the boundary ele ment method (BEM) , the traditional panel clustering, fast multi-pole and wavelet based methods as well as the modern hierarchical matrix techniques are known to provide the data-sparse approximations to the arising fully populated stiffness matrices with almost linear cost O(Nr log?Nr), where 1 d Nr = O(h - ) is the number of degrees of freedom associated with the boundary. The aim of this book is to introduce a wider audience to the use of a new class of efficient numerical methods of almost linear complexity for solving elliptic partial differential equations (PDEs) based on their reduction to the interface.

Fine Regularity of Solutions of Elliptic Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803352
Total Pages : 309 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fine Regularity of Solutions of Elliptic Partial Differential Equations by : Jan Malý

Download or read book Fine Regularity of Solutions of Elliptic Partial Differential Equations written by Jan Malý and published by American Mathematical Soc.. This book was released on 1997 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.

Elliptic Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540548225
Total Pages : 334 pages
Book Rating : 4.5/5 (482 download)

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Book Synopsis Elliptic Differential Equations by : W. Hackbusch

Download or read book Elliptic Differential Equations written by W. Hackbusch and published by Springer Science & Business Media. This book was released on 1992 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derived from a lecture series for college mathematics students, introduces the methods of dealing with elliptical boundary-value problems--both the theory and the numerical analysis. Includes exercises. Translated and somewhat expanded from the 1987 German version. Annotation copyright by Book News, Inc., Portland, OR

Elliptic Equations: An Introductory Course

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Publisher : Springer Science & Business Media
ISBN 13 : 3764399813
Total Pages : 289 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Elliptic Equations: An Introductory Course by : Michel Chipot

Download or read book Elliptic Equations: An Introductory Course written by Michel Chipot and published by Springer Science & Business Media. This book was released on 2009-02-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements. Apart from the basic theory of equations in divergence form it includes subjects such as singular perturbation problems, homogenization, computations, asymptotic behaviour of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been introduced, and work or integration on the boundary has been carefully avoided to keep the reader's attention on the beauty and variety of these issues. The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original and have not been published elsewhere. The book will be of interest to graduate students and faculty members specializing in partial differential equations.

Integral Representations of Axially Symmetric Potential Functions

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ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integral Representations of Axially Symmetric Potential Functions by : Richard C. MacCamy

Download or read book Integral Representations of Axially Symmetric Potential Functions written by Richard C. MacCamy and published by . This book was released on 1960 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Operators for Partial Differential Equations and Function Theoretic Applications

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Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Differential Operators for Partial Differential Equations and Function Theoretic Applications by : K. W. Bauer

Download or read book Differential Operators for Partial Differential Equations and Function Theoretic Applications written by K. W. Bauer and published by Lecture Notes in Mathematics. This book was released on 1980-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic Partial Differential Equations

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Publisher : Walter de Gruyter
ISBN 13 : 3110315424
Total Pages : 204 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Elliptic Partial Differential Equations by : Lucio Boccardo

Download or read book Elliptic Partial Differential Equations written by Lucio Boccardo and published by Walter de Gruyter. This book was released on 2013-10-29 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason this monograph is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.

The Numerical Solution of Elliptic Equations

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Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Numerical Solution of Elliptic Equations by : Garrett Birkhoff

Download or read book The Numerical Solution of Elliptic Equations written by Garrett Birkhoff and published by . This book was released on 1971 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semilinear Elliptic Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311055545X
Total Pages : 338 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Semilinear Elliptic Equations by : Takashi Suzuki

Download or read book Semilinear Elliptic Equations written by Takashi Suzuki and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-10-12 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike.

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470437805
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Holomorphic Partial Differential Equations and Classical Potential Theory by : Dmitry Khavinson

Download or read book Linear Holomorphic Partial Differential Equations and Classical Potential Theory written by Dmitry Khavinson and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do solutions of linear analytic PDE suddenly break down? What is the source of these mysterious singularities, and how do they propagate? Is there a mean value property for harmonic functions in ellipsoids similar to that for balls? Is there a reflection principle for harmonic functions in higher dimensions similar to the Schwarz reflection principle in the plane? How far outside of their natural domains can solutions of the Dirichlet problem be extended? Where do the continued solutions become singular and why? This book invites graduate students and young analysts to explore these and many other intriguing questions that lead to beautiful results illustrating a nice interplay between parts of modern analysis and themes in “physical” mathematics of the nineteenth century. To make the book accessible to a wide audience including students, the authors do not assume expertise in the theory of holomorphic PDE, and most of the book is accessible to anyone familiar with multivariable calculus and some basics in complex analysis and differential equations.

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Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1001 pages
Book Rating : 4./5 ( download)

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Download or read book written by and published by World Scientific. This book was released on with total page 1001 pages. Available in PDF, EPUB and Kindle. Book excerpt: