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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 : 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 : 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 : Avron Douglis
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.3/5 (243 download)
Download or read book Dirichlet's Problem for Linear Elliptic Partial Differential Equations of Second and Higher Order written by Avron Douglis and published by . This book was released on 1958 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Courant
Publisher : Springer Science & Business Media
ISBN 13 : 1461299179
Total Pages : 340 pages
Book Rating : 4.4/5 (612 download)
Download or read book Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces written by R. Courant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has always been a temptation for mathematicians to present the crystallized product of their thoughts as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods of more general significance. The present book deals with subjects of this category. It is written in a style which, as the author hopes, expresses adequately the balance and tension between the individuality of mathematical objects and the generality of mathematical methods. The author has been interested in Dirichlet's Principle and its various applications since his days as a student under David Hilbert. Plans for writing a book on these topics were revived when Jesse Douglas' work suggested to him a close connection between Dirichlet's Principle and basic problems concerning minimal sur faces. But war work and other duties intervened; even now, after much delay, the book appears in a much less polished and complete form than the author would have liked."
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 : Thomas H. Otway
Publisher : Springer
ISBN 13 : 3642244157
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. This book was released on 2012-01-06 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 : Edward Norman Dancer
Publisher : American Mathematical Soc.
ISBN 13 : 0821825631
Total Pages : 81 pages
Book Rating : 4.8/5 (218 download)
Download or read book Weakly Nonlinear Dirichlet Problems on Long or Thin Domains written by Edward Norman Dancer and published by American Mathematical Soc.. This book was released on 1993 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we discuss the existence, uniqueness and asymptotic behavior of positive solutions of the equation −[capital Greek]Delta[italic]u = [lowercase Greek]Lambda[function]ƒ([italic]u) in [capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n], [and] [italic]u = 0 on [partial derivative/boundary/degree of a polynomial symbol]([capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n]) for [italic]n large. Here [capital Greek]Omega[surmounted by macron] is a bounded domain in [italic capital]R[superscript italic]k with smooth boundary. Note that by rescaling the equation (including [lowercase Greek]Lambda), our theory covers problems on domains ([set membership symbol][capital Greek]Omega[surmounted by macron]) [times symbol] [−1,1] where [set membership symbol] is small.
Author : George Emil Raynor
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (493 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 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Röckner
Publisher : American Mathematical Soc.
ISBN 13 : 0821823256
Total Pages : 86 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Dirichlet Problem for Distributions and Specifications for Random Fields written by Michael Röckner and published by American Mathematical Soc.. This book was released on 1985 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: "March 1985, volume 54, number 324 (end of volume)"
Author : Vladimir Maz'ya
Publisher : Birkhäuser
ISBN 13 : 3034884346
Total Pages : 448 pages
Book Rating : 4.0/5 (348 download)
Download or read book Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains written by Vladimir Maz'ya and published by Birkhäuser. This book was released on 2012-12-06 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems.
Author : Åke Pleijel
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Neumann-Fredholm Method to Solve Dirichlet's Problem written by Åke Pleijel and published by . This book was released on 1978 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steve Hofmann
Publisher : American Mathematical Soc.
ISBN 13 : 0821826840
Total Pages : 129 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Dirichlet Problem for Parabolic Operators with Singular Drift Terms written by Steve Hofmann and published by American Mathematical Soc.. This book was released on 2001 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir considers the Dirichlet problem for parabolic operators in a half space with singular drift terms. Chapter I begins the study of a parabolic PDE modelled on the pullback of the heat equation in certain time varying domains considered by Lewis-Murray and Hofmann-Lewis. Chapter II obtains mutual absolute continuity of parabolic measure and Lebesgue measure on the boundary of this halfspace and also that the $L DEGREESq(R DEGREESn)$ Dirichlet problem for these PDEs has a solution when $q$ is large enough. Chapter III proves an analogue of a theorem of Fefferman, Kenig, and Pipher for certain parabolic PDEs with singular drift terms. Each of the chapters that comprise this memoir has its own numbering system and list
Author : V. G. Mazʹi͡a︡
Publisher : Springer Science & Business Media
ISBN 13 : 9783764363987
Total Pages : 362 pages
Book Rating : 4.3/5 (639 download)
Download or read book Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II written by V. G. Mazʹi͡a︡ and published by Springer Science & Business Media. This book was released on 2000 with total page 362 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 : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 : 9780471589860
Total Pages : 660 pages
Book Rating : 4.5/5 (898 download)
Download or read book Applied and Computational Complex Analysis, Volume 3 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1993-04-16 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
Author : Marin Marin
Publisher : Springer
ISBN 13 : 331990647X
Total Pages : 383 pages
Book Rating : 4.3/5 (199 download)
Download or read book Essentials of Partial Differential Equations written by Marin Marin and published by Springer. This book was released on 2018-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
