Differential Operators for Partial Differential Equations and Function Theoretic Applications PDF Download
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Author: K. W. Bauer
Publisher: Springer
ISBN: 3540392114
Category : Mathematics
Languages : en
Pages : 264
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Book Description
Author: K. W. Bauer
Publisher: Springer
ISBN: 3540392114
Category : Mathematics
Languages : en
Pages : 264
Get Book
Book Description
Author: K. W. Bauer
Publisher:
ISBN: 9783662165331
Category :
Languages : en
Pages : 272
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Book Description
Author: Jean Renault
Publisher:
ISBN: 9780387099750
Category : C*-algebras
Languages : en
Pages : 443
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Book Description
Author: Prem Kythe
Publisher: Springer Science & Business Media
ISBN: 9780817638696
Category : Mathematics
Languages : en
Pages : 448
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Book Description
A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
Author: J. Chazarain
Publisher: Elsevier
ISBN: 9780080875354
Category : Computers
Languages : en
Pages : 558
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Book Description
Introduction to the Theory of Linear Partial Differential Equations
Author: Piero Bassanini
Publisher: Springer Science & Business Media
ISBN: 1489918752
Category : Mathematics
Languages : en
Pages : 446
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Book Description
This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O.
Author: Yakov Yakubov
Publisher: CRC Press
ISBN: 9781584881391
Category : Mathematics
Languages : en
Pages : 586
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Book Description
The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders. In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains. Among this volume's other points of interest are: The Abel basis property of a system of root functions Irregular boundary value problems The theory of hyperbolic equations in Gevrey space The theory of boundary value problems for elliptic differential equations with a parameter
Author: Alexander Nagel
Publisher: Princeton University Press
ISBN: 1400870488
Category : Mathematics
Languages : en
Pages : 167
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Book Description
The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Prem Kythe
Publisher: Springer Science & Business Media
ISBN: 1461241065
Category : Mathematics
Languages : en
Pages : 437
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Book Description
A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
Author: Marin Marin
Publisher: Springer
ISBN: 331990647X
Category : Technology & Engineering
Languages : en
Pages : 380
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Book Description
This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
