{"product_id":"analysis-of-heat-equations-on-domains-lms-31-9780691120164","title":"Analysis of Heat Equations on Domains. (Lms-31)","description":"\u003cp\u003eThis is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats \u003ci\u003eLp\u003cbr\u003e \u003c\/i\u003e properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e This book addresses new developments and applications of Gaussian upper bounds to spectral theory. In particular, it shows how such bounds can be used in order to prove \u003ci\u003eLp\u003cbr\u003e \u003c\/i\u003e estimates for heat, Schr dinger, and wave type equations. A significant part of the results have been proved during the last decade. \u003cp\u003e\u003c\/p\u003e The book will appeal to researchers in applied mathematics and functional analysis, and to graduate students who require an introductory text to sesquilinear form techniques, semigroups generated by second order elliptic operators in divergence form, heat kernel bounds, and their applications. It will also be of value to mathematical physicists. The author supplies readers with several references for the few standard results that are stated without proofs.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e El-Maati Ouhabaz\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/31\/2004\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 296\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.18lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.88h x 5.94w x 0.73d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691120164\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eEl-Maati Ouhabaz\u003c\/b\u003e is Professor of Analysis and Geometry at Université Bordeaux 1\u003cbr\u003e\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40608952549491,"sku":"9.78069E+12","price":224.06,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_f8d150b7-7937-4243-b94e-ecd31e6720ac.jpg?v=1669730884","url":"https:\/\/bookstorenmore.com\/products\/analysis-of-heat-equations-on-domains-lms-31-9780691120164","provider":"Bookstore N More","version":"1.0","type":"link"}