Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Existence And Regularity Of Solutions Of Some Elliptic System In Domains With Edges
Download Existence And Regularity Of Solutions Of Some Elliptic System In Domains With Edges full books in PDF, epub, and Kindle. Read online Existence And Regularity Of Solutions Of Some Elliptic System In Domains With Edges ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Existence and Regularity of Solutions of Some Elliptic System in Domains with Edges by : Wojciech M. Zajączkowski
Download or read book Existence and Regularity of Solutions of Some Elliptic System in Domains with Edges written by Wojciech M. Zajączkowski and published by . This book was released on 1988 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elliptic Equations in Polyhedral Domains by : V. G. Maz_i_a
Download or read book Elliptic Equations in Polyhedral Domains written by V. G. Maz_i_a and published by American Mathematical Soc.. This book was released on 2010-04-22 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph which systematically treats elliptic boundary value problems in domains of polyhedral type. The authors mainly describe their own recent results focusing on the Dirichlet problem for linear strongly elliptic systems of arbitrary order, Neumann and mixed boundary value problems for second order systems, and on boundary value problems for the stationary Stokes and Navier-Stokes systems. A feature of the book is the systematic use of Green's matrices. Using estimates for the elements of these matrices, the authors obtain solvability and regularity theorems for the solutions in weighted and non-weighted Sobolev and Holder spaces. Some classical problems of mathematical physics (Laplace and biharmonic equations, Lame system) are considered as examples. Furthermore, the book contains maximum modulus estimates for the solutions and their derivatives. The exposition is self-contained, and an introductory chapter provides background material on the theory of elliptic boundary value problems in domains with smooth boundaries and in domains with conical points. The book is destined for graduate students and researchers working in elliptic partial differential equations and applications.
Book Synopsis On the Existence, Uniqueness and Regularity of Solutions to Boundary Value Problems for Elliptic Systems of Linear Partial Differential Equations of Mixed Order by : John Alan Ladwig
Download or read book On the Existence, Uniqueness and Regularity of Solutions to Boundary Value Problems for Elliptic Systems of Linear Partial Differential Equations of Mixed Order written by John Alan Ladwig and published by . This book was released on 1980 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regularity of the Solutions for Elliptic Problems on Nonsmooth Domains in R3. Part 2: Regularity in Neighborhoods of Edges by :
Download or read book Regularity of the Solutions for Elliptic Problems on Nonsmooth Domains in R3. Part 2: Regularity in Neighborhoods of Edges written by and published by . This book was released on 1995 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is the second in a series of three devoted to the analysis of regularity of solutions of elliptic problems on nonsmooth domains in R3. The present paper concentrates on the regularity of solution of Poisson equation in neighborhoods of edges of a polyhedral domain in the frame of the weighted Sobolev spaces and countably normed spaces. These results can be generalized to elliptic problems arising form mechanics and engineering; for instance, the elasticity problem on polyhedral domains.
Book Synopsis Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems with Constraints by : Frederick J. Almgren
Download or read book Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems with Constraints written by Frederick J. Almgren and published by American Mathematical Soc.. This book was released on 1976 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations by : Vladimir Kozlov
Download or read book Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations written by Vladimir Kozlov and published by American Mathematical Soc.. This book was released on 2001 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with corners and edges. The authors treat both classical problems of mathematical physics and general elliptic boundary value problems. The volume is divided into two parts: The first is devoted to the power-logarithmic singularities of solutions to classical boundary value problems of mathematical physics. The second deals with similar singularities for higher order elliptic equations and systems. Chapter 1 collects basic facts concerning operator pencils acting in a pair of Hilbert spaces. Related properties of ordinary differential equations with constant operator coefficients are discussed and connections with the theory of general elliptic boundary value problems in domains with conic vertices are outlined. New results are presented. Chapter 2 treats the Laplace operator as a starting point and a model for the subsequent study of angular and conic singularities of solutions. Chapter 3 considers the Dirichlet boundary condition beginning with the plane case and turning to the space problems. Chapter 4 investigates some mixed boundary conditions. The Stokes system is discussed in Chapters 5 and 6, and Chapter 7 concludes with the Dirichlet problem for the polyharmonic operator. Chapter 8 studies the Dirichlet problem for general elliptic differential equations of order 2m in an angle. In Chapter 9, an asymptotic formula for the distribution of eigenvalues of operator pencils corresponding to general elliptic boundary value problems in an angle is obtained. Chapters 10 and 11 discuss the Dirichlet problem for elliptic systems of differential equations of order 2 in an n-dimensional cone. Chapter 12 studies the Neumann problem for general elliptic systems, in particular with eigenvalues of the corresponding operator pencil in the strip $\mid {\Re} \lambda - m + /2n \mid \leq 1/2$. It is shown that only integer numbers contained in this strip are eigenvalues. Applications are placed within chapter introductions and as special sections at the end of chapters. Prerequisites include standard PDE and functional analysis courses.
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.
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 2005 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Large Flux Problem to the Navier-Stokes Equations by : Joanna Rencławowicz
Download or read book The Large Flux Problem to the Navier-Stokes Equations written by Joanna Rencławowicz and published by Springer Nature. This book was released on 2019-12-09 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.
Book Synopsis Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points by :
Download or read book Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points written by and published by . This book was released on 2013 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of higher-order equations, also those with degenerations and singularities, can be shown by theories of monotone operators and topological methods. There are few results about singular solutions of second-order equations involving the p-Laplacian with the Dirac distribution on the right-hand side. So far the existence of singular solutions of higher-order equations with a presc...
Download or read book Rozprawy Matematyczne written by and published by . This book was released on 1992 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions by : Friedmar Schulz
Download or read book Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions written by Friedmar Schulz and published by Springer. This book was released on 2006-12-08 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.
Book Synopsis An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs by : Mariano Giaquinta
Download or read book An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and L^p-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1. In this second deeply revised edition we also included the regularity of 2-dimensional weakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of the L^p theory, including the celebrated results of Wente and of Coifman-Lions-Meyer-Semmes.
Book Synopsis The Analysis of Solutions of Elliptic Equations by : Nikolai Tarkhanov
Download or read book The Analysis of Solutions of Elliptic Equations written by Nikolai Tarkhanov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see [291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications. We consider, as a rule, differential operators having a simple structure on open subsets of Rn. Currently, this area is not being investigated very actively, possibly because it is already very highly developed actively (cf. for example the book of Palamodov [213]). However, even in this (well studied) situation the general ideas from [291] allow us to obtain new results in the qualitative theory of differential equations and frequently in definitive form. The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin [303] for uniform and mean approximation by solutions of an elliptic system. Somewhat afield are several questions on ill-posedness, but the parametrix method enables us to obtain here a series of hitherto unknown facts.
Book Synopsis Regularity Results for Nonlinear Elliptic Systems and Applications by : Alain Bensoussan
Download or read book Regularity Results for Nonlinear Elliptic Systems and Applications written by Alain Bensoussan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.
Book Synopsis Duality Theorems for Kantorovich-Rubinstein and Wasserstein Functionals by : Svetlozar Todorov Rachev
Download or read book Duality Theorems for Kantorovich-Rubinstein and Wasserstein Functionals written by Svetlozar Todorov Rachev and published by . This book was released on 1990 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Variables on Boolean and Heyting Algebras and Their Numerical Characteristics by : Ewa Rydzyńska
Download or read book Random Variables on Boolean and Heyting Algebras and Their Numerical Characteristics written by Ewa Rydzyńska and published by . This book was released on 1990 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
