Abstract Methods in Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Abstract Methods in Partial Differential Equations by Robert W. Carroll, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Robert W. Carroll ISBN: 9780486263281
Publisher: Dover Publications Publication: May 27, 2013
Imprint: Dover Publications Language: English
Author: Robert W. Carroll
ISBN: 9780486263281
Publisher: Dover Publications
Publication: May 27, 2013
Imprint: Dover Publications
Language: English
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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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.

More books from Dover Publications

Cover of the book Rotary-Wing Aerodynamics by Robert W. Carroll
Cover of the book Slime 101 by Robert W. Carroll
Cover of the book Reynard the Fox and Other Fables by Robert W. Carroll
Cover of the book Bel Canto by Robert W. Carroll
Cover of the book Complete Symphonies in Full Score by Robert W. Carroll
Cover of the book Mendel's Principles of Heredity by Robert W. Carroll
Cover of the book The Art of Worldly Wisdom by Robert W. Carroll
Cover of the book Mary Thomas's Book of Knitting Patterns by Robert W. Carroll
Cover of the book Goyescas, Spanish Dances and Other Works for Solo Piano by Robert W. Carroll
Cover of the book 536 Puzzles and Curious Problems by Robert W. Carroll
Cover of the book Treatise on Irreversible and Statistical Thermodynamics by Robert W. Carroll
Cover of the book We Were There at the First Airplane Flight by Robert W. Carroll
Cover of the book Say It in Russian (Revised) by Robert W. Carroll
Cover of the book The Story of Rolf by Robert W. Carroll
Cover of the book Fences, Gates and Garden Houses by Robert W. Carroll
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy