Download or read book Elliptic Systems in the Plane written by Wolfgang L. Wendland and published by Pitman Publishing. This book was released on 1979 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Systems in the Plane written by Robert P. Gilbert and published by . This book was released on 1976 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Systems in the Plane written by R. P. Gilbert and published by . This book was released on 1980 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mean Value Properties of Solutions of Elliptic Systems in the Plane written by Heinrich Renelt and published by . This book was released on 1996 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis as a Life written by Sergei Rogosin and published by Springer. This book was released on 2019-01-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).
Download or read book Boundary Value Problems for Elliptic Systems written by J. T. Wloka and published by Cambridge University Press. This book was released on 1995-07-28 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.
Download or read book First Order Elliptic Systems A Function Theoretic Approach written by Buchanan and published by Academic Press. This book was released on 1983-07-19 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Order Elliptic Systems: A Function Theoretic Approach
Download or read book Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 written by Kari Astala and published by Princeton University Press. This book was released on 2009-01-18 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Download or read book Second order Linear Elliptic Systems on the Complex Plane written by Samer Said Habre and published by . This book was released on 1991 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary Value Problems Associated with First Order Elliptic Systems in the Plane written by R. P. Gilbert and published by . This book was released on 1981 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods for Boundary Value Problems of Elliptic Systems in the Plane written by Wolfgang L. Wendland and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 written by Kari Astala and published by Princeton University Press. This book was released on 2009 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Download or read book On Riemann Boundary Value Problems for Certain Linear Elliptic Systems in the Plane written by and published by . This book was released on 1977 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The partial differential equations which occur in the theory of elastic plates and shells are among those which may be reduced to a first order elliptic system. Under certain regularity conditions for the coefficients, a Beltrami transformation exists taking the general first-order, elliptic systems into a normal-Douglis-form. This form can be further simplified, and more concisely represented by utilizing the algebra of hypercomplex numbers. The theory of solutions to these linear systems is known as generalized hyperanalytic function theory. The present work deals with Riemann boundary value problems for linear systems. It is shown that every solution of the homogeneous boundary value problem may be written as a linear combination of special solutions resembling Bers generating pairs. The nonhomogeneous solution is represented as a homogeneous solution plus a particular solution which is given as an integral representation using a generalized Cauchy kernel.
Download or read book Elliptic Systems of Phase Transition Type written by Nicholas D. Alikakos and published by Springer. This book was released on 2019-01-21 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabré (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-Córdoba density estimates that played a major role in Savin's proof. It also introduces an alternative method for obtaining pointwise estimates. Key features and topics of this self-contained, systematic exposition include: • Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions. • Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves. • Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates. • Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results. This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations – ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of materials science.
Download or read book On a Class of Semilinear Boundary Value Problems for Certain Elliptic Systems in the Plane written by Wolfgang L. Wendland and published by . This book was released on 1976 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stable asymptotics for elliptic systems on plane domains with corners written by M. Costabel and published by . This book was released on 1993 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A least squares approximation method for first order elliptic systems of plane written by Jukka Saranen and published by . This book was released on 1982 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
