Boundary Value Problems With Free Boundaries For Elliptic Systems Of Equations
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Boundary Value Problems With Free Boundaries For Elliptic Systems Of Equations
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Author : Valentin Nikolaevich Monakhov
language : en
Publisher: American Mathematical Soc.
Release Date : 1983
Boundary Value Problems With Free Boundaries For Elliptic Systems Of Equations written by Valentin Nikolaevich Monakhov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.
Boundary Value Problems For Elliptic Systems
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Author : J. T. Wloka
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-28
Boundary Value Problems For Elliptic Systems written by J. T. Wloka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-28 with Mathematics categories.
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.
Boundary Value Problems For Elliptic Equations And Systems
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Author : Guo Chun Wen
language : en
Publisher: Chapman & Hall/CRC
Release Date : 1990
Boundary Value Problems For Elliptic Equations And Systems written by Guo Chun Wen and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This monograph mainly deals with several boundary value problems for linear and nonlinear elliptic equations and systems by using function theoretic methods. The established theory is systematic, the considered equations and systems, boundary conditions and domains are rather general. Various methods are used. As an application, the existence of nonlinear quasiconformal mappings onto canonical domains is proved.
Elliptic Equations In Polyhedral Domains
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Author : V. G. Maz_i_a
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-04-22
Elliptic Equations In Polyhedral Domains written by V. G. Maz_i_a and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-22 with Mathematics categories.
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.
Boundary Value Problems For Second Order Elliptic Equations
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Author : A.V. Bitsadze
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Boundary Value Problems For Second Order Elliptic Equations written by A.V. Bitsadze and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.
Nonlinear Elliptic Boundary Value Problems And Their Applications
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Author : H Begehr
language : en
Publisher: CRC Press
Release Date : 1996-05-15
Nonlinear Elliptic Boundary Value Problems And Their Applications written by H Begehr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.
Integral Equations And Boundary Value Problems Proceedings Of The International Conference
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Author : Guo Chun Wen
language : en
Publisher: #N/A
Release Date : 1991-03-15
Integral Equations And Boundary Value Problems Proceedings Of The International Conference written by Guo Chun Wen and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-15 with categories.
The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.
Strongly Elliptic Systems And Boundary Integral Equations
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Author : William Charles Hector McLean
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28
Strongly Elliptic Systems And Boundary Integral Equations written by William Charles Hector McLean and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-28 with Mathematics categories.
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Nonlinear Partial Differential Equations And Free Boundaries Elliptic Equations
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Author : J. I. Díaz
language : en
Publisher:
Release Date : 1985
Nonlinear Partial Differential Equations And Free Boundaries Elliptic Equations written by J. I. Díaz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Boundary value problems categories.
In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, non-Newtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation.
Elliptic Systems In The Plane
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Author : Wolfgang L. Wendland
language : en
Publisher: Pitman Publishing
Release Date : 1979
Elliptic Systems In The Plane written by Wolfgang L. Wendland and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.