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

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

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SKU: SONG0486488357
UPC: 800759488353
Brand: Dover Publications
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This selfcontained 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 existenceuniqueness 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 selfstudy, the text features a thorough bibliography. Appendixes cover topology and fixedpoint theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.

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