{"product_id":"partial-differential-equations-a-unified-hilbert-space-approach-9783110250268","title":"Partial Differential Equations: A Unified Hilbert Space Approach","description":"\u003cp\u003e • Author(s): Rainer Picard | Des McGhee\u003cbr\u003e • Publisher: de Gruyter\u003cbr\u003e • Publisher Imprint: de Gruyter\u003cbr\u003e • BISAC: Transformations\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. \u003c\/p\u003e \u003cp\u003eThe focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. \u003c\/p\u003e \u003cp\u003eIn contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. \u003c\/p\u003e \u003cp\u003eThe book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.\u003cbr\u003e\u003c\/p\u003e","brand":"de Gruyter","offers":[{"title":"Hardcover","offer_id":46867850494103,"sku":"9783110250268","price":22046.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783110250268.webp?v=1769987481","url":"https:\/\/atlanticbooks.com\/products\/partial-differential-equations-a-unified-hilbert-space-approach-9783110250268","provider":"Atlantic Books","version":"1.0","type":"link"}