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Abstract Methods in Partial Differential Equations (Dover Books on Mathematics)

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Abstract Methods in Partial Differential Equations (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems.

The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.

Synopsis:

Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition.

Synopsis:

Detailed and self-contained, this treatment is directed to graduate students with some previous exposure to classical partial differential equations. The author examines a variety of modern abstract methods in partial differential equations, especially in the area of abstract evolution equations. Additional topics include the theory of nonlinear monotone operators applied to elliptic and variational problems. 1969 edition.

Table of Contents

1. Functional Analysis and Distributions
2. Elliptic Theory
3. Evolution Equations I
4. Evolution Equations II
5. Evolution Equations III
6. Global Analysis
Appendix I
Appendix II
References
Index

Product Details

ISBN:
9780486488356
Author:
Carroll, Robert W
Publisher:
Dover Publications
Author:
Mathematics
Author:
Carroll, Robert W.
Subject:
Differential Equations
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Abstract Methods in PDE
Subject:
variational problems
Subject:
Mathematics-Differential Equations
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20120531
Binding:
TRADE PAPER
Language:
English
Pages:
384
Dimensions:
9.25 x 6.13 in

Related Subjects


Science and Mathematics » Chemistry » Physical Chemistry
Science and Mathematics » Mathematics » Differential Equations

Abstract Methods in Partial Differential Equations (Dover Books on Mathematics) Used Hardcover
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Product details 384 pages Dover Publications - English 9780486488356 Reviews:
"Synopsis" by ,
Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition.
"Synopsis" by ,
Detailed and self-contained, this treatment is directed to graduate students with some previous exposure to classical partial differential equations. The author examines a variety of modern abstract methods in partial differential equations, especially in the area of abstract evolution equations. Additional topics include the theory of nonlinear monotone operators applied to elliptic and variational problems. 1969 edition.
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