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Layer Potentials And Boundary Value Problems For The Heat Equation On Lipschitz Cylinders
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Book Synopsis Layer Potentials and Boundary Value Problems for the Heat Equation on Lipschitz Cylinders by : Russell Murray Brown
Download or read book Layer Potentials and Boundary Value Problems for the Heat Equation on Lipschitz Cylinders written by Russell Murray Brown and published by . This book was released on 1987 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Method of Layer Potentials for the Heat Equation in Time-Varying Domains by : John L. Lewis
Download or read book The Method of Layer Potentials for the Heat Equation in Time-Varying Domains written by John L. Lewis and published by American Mathematical Soc.. This book was released on 1995 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir consists of three papers in which we develop the method of layer potentials for the heat equation in time-varying domains. In Chapter I we show certain singular integral operators on [italic]L[superscript italic]p are bounded. in Chapter II, we develop a modification of the David buildup scheme to obtain [italic]L[superscript italic]p boundedness of the double layer heat potential on the boundary of our domains. In Chapter III, we use the results of the first two chapters to show the mutual absolute continuity of parabolic measure and a certain projective Lebesgue measure.
Book Synopsis Layer Potentials and Boundary Value Problems for Parabolic Lame Systems of Elasticity and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders by : Zhongwei Shen
Download or read book Layer Potentials and Boundary Value Problems for Parabolic Lame Systems of Elasticity and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders written by Zhongwei Shen and published by . This book was released on 1989 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Analysis and Boundary Value Problems by : Luca Capogna
Download or read book Harmonic Analysis and Boundary Value Problems written by Luca Capogna and published by American Mathematical Soc.. This book was released on 2001 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents research and expository articles by the participants of the 25th Arkansas Spring Lecture Series on ``Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View'' held at the University of Arkansas (Fayetteville). Papers in this volume provide clear and concise presentations of many problems that are at the forefront of harmonic analysis and partial differential equations. The following topics are featured: the solution of the Kato conjecture, the ``two bricks'' problem, new results on Cauchy integrals on non-smooth curves, the Neumann problem for sub-Laplacians, and a new general approach to both divergence and nondivergence second order parabolic equations based on growth theorems. The articles in this volume offer both students and researchers a comprehensive volume of current results in the field.
Book Synopsis Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems by : Carlos E. Kenig
Download or read book Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems written by Carlos E. Kenig and published by American Mathematical Soc.. This book was released on 1994 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for applications, and they have turned out to have profound and fascinating connections with many areas of analysis. Techniques from harmonic analysis have proved to be extremely useful in these studies, both as concrete tools in establishing theorems and as models which suggest what kind of result might be true. Kenig describes these developments and connections for the study of classical boundary value problems on Lipschitz domains and for the corresponding problems for second order elliptic equations in divergence form. He also points out many interesting problems in this area which remain open.
Book Synopsis Integral Methods in Science and Engineering by : Christian Constanda
Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by Springer. This book was released on 2019-07-18 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally recognized researchers. The topics addressed are wide ranging, and include: Asymptotic analysis Boundary-domain integral equations Viscoplastic fluid flow Stationary waves Interior Neumann shape optimization Self-configuring neural networks This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.
Book Synopsis Fractional Differential Equations by : Anatoly Kochubei
Download or read book Fractional Differential Equations written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.
Book Synopsis Nonlinear Diffusion Equations and Their Equilibrium States, 3 by : N.G Lloyd
Download or read book Nonlinear Diffusion Equations and Their Equilibrium States, 3 written by N.G Lloyd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
Book Synopsis Partial Differential Equations with Minimal Smoothness and Applications by : B. Dahlberg
Download or read book Partial Differential Equations with Minimal Smoothness and Applications written by B. Dahlberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a great deal of activity in both the theoretical and applied aspects of partial differential equations, with emphasis on realistic engineering applications, which usually involve lack of smoothness. On March 21-25, 1990, the University of Chicago hosted a workshop that brought together approximately fortyfive experts in theoretical and applied aspects of these subjects. The workshop was a vehicle for summarizing the current status of research in these areas, and for defining new directions for future progress - this volume contains articles from participants of the workshop.
Book Synopsis Clifford Algebras in Analysis and Related Topics by : John Ryan
Download or read book Clifford Algebras in Analysis and Related Topics written by John Ryan and published by CRC Press. This book was released on 2018-03-09 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains. Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more! Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.
Book Synopsis Geometric Harmonic Analysis I by : Dorina Mitrea
Download or read book Geometric Harmonic Analysis I written by Dorina Mitrea and published by Springer Nature. This book was released on 2022-11-04 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
Book Synopsis Weighted Morrey Spaces by : Marcus Laurel
Download or read book Weighted Morrey Spaces written by Marcus Laurel and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-09-02 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. A functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calderón-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calderón-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space. The fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature.
Book Synopsis The Journal of Integral Equations and Applications by :
Download or read book The Journal of Integral Equations and Applications written by and published by . This book was released on 2016 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders by : Mathematical Sciences Research Institute (Berkeley, Calif.).
Download or read book The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1988 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods and Applications of Analysis by :
Download or read book Methods and Applications of Analysis written by and published by . This book was released on 2002 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Boundary Value Problem for the Heat Equation by : David Carl Jensen
Download or read book A Boundary Value Problem for the Heat Equation written by David Carl Jensen and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Scientific and Statistical Computing by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Scientific and Statistical Computing written by Society for Industrial and Applied Mathematics and published by . This book was released on 1991 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
