{"product_id":"abstract-methods-in-partial-differential-equations-9780486488356","title":"Abstract Methods in Partial Differential Equations","description":"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.\u003cbr\u003eThe 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.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/16\/2012\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486488356\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 384\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.10lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.90d","brand":"Robert W. Carroll, Mathematics","offers":[{"title":"Default Title","offer_id":38012725199029,"sku":"9780486488356","price":21.21,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_77170ced-a7bc-44b4-be55-6db876a141ce.jpg?v=1609137516","url":"https:\/\/pastforward.org\/products\/abstract-methods-in-partial-differential-equations-9780486488356","provider":"Past Forward","version":"1.0","type":"link"}