{"product_id":"functional-spaces-for-the-theory-of-elliptic-partial-differential-equations-9781447128069","title":"Functional Spaces for the Theory of Elliptic Partial Differential Equations","description":"\u003cp\u003e • Author(s): Françoise Demengel\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Calculus\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eLinear and non-linear elliptic boundary problems are a fundamental subject in analysis and the spaces of weakly differentiable functions (also called Sobolev spaces) are an essential tool for analysing the regularity of its solutions.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe complete theory of Sobolev spaces is covered whilst also explaining how abstract convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. Other kinds of functional spaces are also included, useful for treating variational problems such as the minimal surface problem.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eAlmost every result comes with a complete and detailed proof. In some cases, more than one proof is provided in order to highlight different aspects of the result. A range of exercises of varying levels of difficulty concludes each chapter with hints to solutions for many of them.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eIt is hoped that this book will provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on Schwartz spaces. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274681245847,"sku":"9781447128069","price":5141.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781447128069.webp?v=1769280645","url":"https:\/\/atlanticbooks.com\/products\/functional-spaces-for-the-theory-of-elliptic-partial-differential-equations-9781447128069","provider":"Atlantic Books","version":"1.0","type":"link"}