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Abstract Methods in Partial Differential Equations
Abstract Methods in Partial Differential Equations
📖 Book - PDF

Abstract Methods in Partial Differential Equations

Robert W. Carroll
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384 pages
language
English
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📖 Book - PDF

Abstract Methods in Partial Differential Equations

Robert W. Carroll
Book details
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About This Book

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.

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Information

Publisher
Dover Publications
Year
2013
ISBN
9780486263281
Topic
Mathematics
Subtopic
Differential Equations

Table of contents