On the Boundary Behavior of Solutions to a Class of Elliptic Partial Differential Equations
Author: Kjell-Ove Widman
Publisher:
Published: 1966
Total Pages: 49
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Kjell-Ove Widman
Publisher:
Published: 1966
Total Pages: 49
ISBN-13:
DOWNLOAD EBOOKAuthor: Kjell-Ove Widman
Publisher:
Published: 1966
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Chi-Ping Lau
Publisher:
Published: 1984
Total Pages: 224
ISBN-13:
DOWNLOAD EBOOKAuthor: V. G. Mazʹi︠a︡
Publisher:
Published: 2018
Total Pages:
ISBN-13: 9783037196908
DOWNLOAD EBOOKAuthor: K. O. Widman
Publisher:
Published: 1966
Total Pages: 48
ISBN-13:
DOWNLOAD EBOOKAuthor: N. E. Tovmasyan
Publisher: World Scientific
Published: 1994
Total Pages: 252
ISBN-13: 9789810213510
DOWNLOAD EBOOKThe 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: Jan Malý
Publisher: American Mathematical Soc.
Published: 1997
Total Pages: 309
ISBN-13: 0821803352
DOWNLOAD EBOOKThe primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.
Author: A.V. Bitsadze
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 212
ISBN-13: 0323162266
DOWNLOAD EBOOKApplied 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
Published: 1990
Total Pages: 432
ISBN-13:
DOWNLOAD EBOOKThis 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: J. T. Wloka
Publisher: Cambridge University Press
Published: 1995-07-28
Total Pages: 659
ISBN-13: 0521430119
DOWNLOAD EBOOKThe 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.