A Sufficient Condition of Boundary Value Problems of Elliptic Systems to be Solved Completely PDF Download
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Author: Nobuhisa Iwasaki
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 108
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Book Description
Author: Nobuhisa Iwasaki
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 108
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Book Description
Author: Valentin Nikolaevich Monakhov
Publisher: American Mathematical Soc.
ISBN: 9780821898079
Category : Mathematics
Languages : en
Pages : 540
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Book Description
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.
Author: J. T. Wloka
Publisher: Cambridge University Press
ISBN: 0521430119
Category : Mathematics
Languages : en
Pages : 659
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Book Description
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.
Author: A.V. Bitsadze
Publisher: Elsevier
ISBN: 0323162266
Category : Mathematics
Languages : en
Pages : 212
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Book Description
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.
Author: Guo Chun Wen
Publisher: Chapman & Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 432
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Book Description
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.
Author: Nobuhisa Iwasaki
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Book Description
Author: N. E. Tovmasyan
Publisher: World Scientific
ISBN: 9789810213510
Category : Science
Languages : en
Pages : 252
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Book Description
The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed.A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance, is outlined and asymptotic formulae for solutions of Maxwell's equation is obtained. These equations are also applied to the efficient resolution of problems.The book is based mostly on the investigation of the author, a considerable part of which being published for the first time.
Author: M. A. Lavrent’ev
Publisher: Courier Dover Publications
ISBN: 0486160289
Category : Mathematics
Languages : en
Pages : 164
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Book Description
Famous monograph by a distinguished mathematician presents an innovative approach to classical boundary value problems. The treatment employs the basic scheme first suggested by Hilbert and developed by Tonnelli. 1963 edition.
Author: H Begehr
Publisher: CRC Press
ISBN: 9780582292048
Category : Mathematics
Languages : en
Pages : 282
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Book Description
Author: V. G. Maz_i_a
Publisher: American Mathematical Soc.
ISBN: 0821849832
Category : Mathematics
Languages : en
Pages : 618
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Book Description
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.
