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Author : George Emil Raynor
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (5 download)
Download or read book Dirichlet's Problem written by George Emil Raynor and published by . This book was released on 1923 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas H. Otway
Publisher : Springer Science & Business Media
ISBN 13 : 3642244149
Total Pages : 219 pages
Book Rating : 4.6/5 (422 download)
Download or read book The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type written by Thomas H. Otway and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface)
Author : Christian G Simader
Publisher : CRC Press
ISBN 13 : 9780582209534
Total Pages : 308 pages
Book Rating : 4.2/5 (95 download)
Download or read book The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains written by Christian G Simader and published by CRC Press. This book was released on 1996-11-07 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dirichlet Problem -?u=ƒ in G, u|?G=0 for the Laplacian in a domain GÌRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and engineering.
Author : Christian G. Simader
Publisher : Springer
ISBN 13 : 3540375899
Total Pages : 243 pages
Book Rating : 4.5/5 (43 download)
Download or read book On Dirichlet's Boundary Value Problem written by Christian G. Simader and published by Springer. This book was released on 2006-11-15 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rolf Leis
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Dirichlet Problem for the Reduced Wave Equation written by Rolf Leis and published by . This book was released on 1959 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Chabrowski
Publisher : Springer
ISBN 13 : 3540384006
Total Pages : 177 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations written by Jan Chabrowski and published by Springer. This book was released on 2006-11-14 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathematicians. The significant features of this recent research are the use of weighted Sobolev spaces, existence results for elliptic equations under very weak regularity assumptions on coefficients, energy estimates involving L2-norm of a boundary data and the construction of a space larger than the usual Sobolev space W1,2 such that every L2-function on the boundary of a given set is the trace of a suitable element of this space. The book gives a concise account of main aspects of these recent developments and is intended for researchers and graduate students. Some basic knowledge of Sobolev spaces and measure theory is required.
Author : Jussi Behrndt
Publisher : Springer Nature
ISBN 13 : 3030367142
Total Pages : 775 pages
Book Rating : 4.0/5 (33 download)
Download or read book Boundary Value Problems, Weyl Functions, and Differential Operators written by Jussi Behrndt and published by Springer Nature. This book was released on 2020-01-03 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
Author : F. D. Gakhov
Publisher : Courier Corporation
ISBN 13 : 9780486662756
Total Pages : 596 pages
Book Rating : 4.6/5 (627 download)
Download or read book Boundary Value Problems written by F. D. Gakhov and published by Courier Corporation. This book was released on 1990-01-01 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant monograph, directed to graduate and advanced-undergraduate students, on the theory of boundary value problems for analytic functions and its applications to the solution of singular integral equations with Cauchy and Hilbert kernels. With exercises.
Author : Rudolf Kurth
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (31 download)
Download or read book Equations of Motion for Dirichlet's Problem in Fluid Dynamics written by Rudolf Kurth and published by . This book was released on 1978 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dagmar Medková
Publisher : Springer
ISBN 13 : 3319743074
Total Pages : 669 pages
Book Rating : 4.3/5 (197 download)
Download or read book The Laplace Equation written by Dagmar Medková and published by Springer. This book was released on 2018-03-31 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions. The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics. This book is of interest to research students, as well as experts in partial differential equations and numerical analysis.
Author : Athanasios S. Fokas
Publisher : SIAM
ISBN 13 : 1611973821
Total Pages : 290 pages
Book Rating : 4.6/5 (119 download)
Download or read book Unified Transform for Boundary Value Problems written by Athanasios S. Fokas and published by SIAM. This book was released on 2015-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.
Author : Viorel Barbu
Publisher : Springer Science & Business Media
ISBN 13 : 9401591172
Total Pages : 295 pages
Book Rating : 4.4/5 (15 download)
Download or read book Partial Differential Equations and Boundary Value Problems written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was marked by two decisive steps. Undoubtedly, the first one was the Fredholm proof in 1900 of the existence of solutions to Dirichlet and Neumann problems, which represented a triumph of the classical theory of partial differential equations. The second step is due to S. 1. Sobolev (1937) who introduced the concept of weak solution in partial differential equations and inaugurated the modern theory of boundary value problems. The classical theory which is a product ofthe nineteenth century, is concerned with smooth (continuously differentiable) sollutions and its methods rely on classical analysis and in particular on potential theory. The modern theory concerns distributional (weak) solutions and relies on analysis of Sob ole v spaces and functional methods. The same distinction is valid for the boundary value problems associated with heat and wave equations. Both aspects of the theory are present in this book though it is not exhaustive in any sense.
Author : Joseph L. Doob
Publisher : Springer Science & Business Media
ISBN 13 : 9783540412069
Total Pages : 892 pages
Book Rating : 4.4/5 (12 download)
Download or read book Classical Potential Theory and Its Probabilistic Counterpart written by Joseph L. Doob and published by Springer Science & Business Media. This book was released on 2001-01-12 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Here is a momumental work by Doob, one of the masters, in which Part 1 develops the potential theory associated with Laplace's equation and the heat equation, and Part 2 develops those parts (martingales and Brownian motion) of stochastic process theory which are closely related to Part 1". --G.E.H. Reuter in Short Book Reviews (1985)
Author : Ivan Georgievich Petrovski?
Publisher : Courier Corporation
ISBN 13 : 9780486669021
Total Pages : 276 pages
Book Rating : 4.6/5 (69 download)
Download or read book Lectures on Partial Differential Equations written by Ivan Georgievich Petrovski? and published by Courier Corporation. This book was released on 1991-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
Author : Nakhle H. Asmar
Publisher : Courier Dover Publications
ISBN 13 : 0486820831
Total Pages : 818 pages
Book Rating : 4.4/5 (868 download)
Download or read book Partial Differential Equations with Fourier Series and Boundary Value Problems written by Nakhle H. Asmar and published by Courier Dover Publications. This book was released on 2017-03-23 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; instructions for obtaining the Instructor Solutions Manual is included in the book. 2004 edition, with minor revisions.
Author : R. Syski
Publisher : IOS Press
ISBN 13 : 9789051990607
Total Pages : 564 pages
Book Rating : 4.9/5 (96 download)
Download or read book Passage Times for Markov Chains written by R. Syski and published by IOS Press. This book was released on 1992 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of work on passage times in stable Markov chains with a discrete state space and a continuous time. Passage times have been investigated since early days of probability theory and its applications. The best known example is the first entrance time to a set, which embraces waiting times, busy periods, absorption problems, extinction phenomena, etc. Another example of great interest is the last exit time from a set. The book presents a unifying treatment of passage times, written in a systematic manner and based on modern developments. The appropriate unifying framework is provided by probabilistic potential theory, and the results presented in the text are interpreted from this point of view. In particular, the crucial role of the Dirichlet problem and the Poisson equation is stressed. The work is addressed to applied probalilists, and to those who are interested in applications of probabilistic methods in their own areas of interest. The level of presentation is that of a graduate text in applied stochastic processes. Hence, clarity of presentation takes precedence over secondary mathematical details whenever no serious harm may be expected. Advanced concepts described in the text gain nowadays growing acceptance in applied fields, and it is hoped that this work will serve as an useful introduction. Abstracted by Mathematical Reviews, issue 94c
Author : John Fitch
Publisher : Springer Science & Business Media
ISBN 13 : 9783540133506
Total Pages : 412 pages
Book Rating : 4.1/5 (335 download)
Download or read book EUROSAM 84 written by John Fitch and published by Springer Science & Business Media. This book was released on 1984-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
