{"product_id":"9783110250268","title":"Partial Differential Equations : A unified Hilbert Space Approach (De Gruyter Expositions in Mathematics 55) (2011. XVIII, 469 S. 240 mm)","description":"\u003cp\u003e§16§§This 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. § §The 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. § §In 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 §16§ many areas of mathematical physics are also presented. § §The 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.§§ §02§Rainer Picard, Dresden University of Technology, Germany; Des McGhee, University of Strathclyde, Glasgow, Scotland, UK.\u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":45507351478351,"sku":"00000_00000_00000_00000","price":11138.4,"currency_code":"TWD","in_stock":true}],"url":"https:\/\/kinokuniya.com.tw\/products\/9783110250268","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}