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| Author | : Shmuel Agmon |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 225 |
| Release | : 2010-02-03 |
| Genre | : Mathematics |
| ISBN | : 0821849107 |
Download Lectures on Elliptic Boundary Value Problems Book in PDF, ePub and Kindle
This book, which is a new edition of a book originally published in 1965, presents an introduction to the theory of higher-order elliptic boundary value problems. The book contains a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher-order elliptic boundary value problems. It also contains a study of spectral properties of operators associated with elliptic boundary value problems. Weyl's law on the asymptotic distribution of eigenvalues is studied in great generality.
| Author | : Shmuel Agmon |
| Publisher | : |
| Total Pages | : 291 |
| Release | : 1965 |
| Genre | : |
| ISBN | : |
Download Lectures on elliptic boundary value problems Book in PDF, ePub and Kindle
| Author | : Summer Institute for Advanced Graduate Students, 1963 |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : Boundary value problems |
| ISBN | : |
Download Lectures on elliptic boundary value problems, by S. Agmon, prepared for pub Book in PDF, ePub and Kindle
| Author | : Nikolaĭ Vladimirovich Krylov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 178 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 082180569X |
Download Lectures on Elliptic and Parabolic Equations in Holder Spaces Book in PDF, ePub and Kindle
These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
| Author | : |
| Publisher | : |
| Total Pages | : 291 |
| Release | : 1965 |
| Genre | : Boundary value problems |
| ISBN | : |
Download Lectures on elliptic boundary value problems Book in PDF, ePub and Kindle
| Author | : Shmuel Agmon |
| Publisher | : |
| Total Pages | : 291 |
| Release | : 1965 |
| Genre | : |
| ISBN | : |
Download Lectures on Elliptic Boundary Value Problems. Prepared for Publication by B. Frank Jones, with the Assistance of George W. Batten Book in PDF, ePub and Kindle
| Author | : Nikolaĭ Vladimirovich Krylov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 377 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821846841 |
Download Lectures on Elliptic and Parabolic Equations in Sobolev Spaces Book in PDF, ePub and Kindle
This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equations with $\textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material. After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequesites are basics of measure theory, the theory of $L p$ spaces, and the Fourier transform.
| Author | : A.V. Bitsadze |
| Publisher | : Elsevier |
| Total Pages | : 212 |
| Release | : 2012-12-02 |
| Genre | : Mathematics |
| ISBN | : 0323162266 |
Download Boundary Value Problems For Second Order Elliptic Equations Book in PDF, ePub and Kindle
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 | : Grigoriĭ Ilʹich Eskin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 432 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0821852841 |
Download Lectures on Linear Partial Differential Equations Book in PDF, ePub and Kindle
This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
| Author | : Filippo Gazzola |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 444 |
| Release | : 2010-06-03 |
| Genre | : Mathematics |
| ISBN | : 3642122442 |
Download Polyharmonic Boundary Value Problems Book in PDF, ePub and Kindle
This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.
