{"product_id":"9789814641647","title":"The Hyperboloidal Foliation Method","description":"\u003cp\u003eThe “Hyperboloidal Foliation Method” introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems.\u003c\/p\u003e \u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eThe Hyperboloidal Foliation and the Bootstrap Strategy\u003c\/li\u003e\n\u003cli\u003eDecompositions and Estimates for the Commutators\u003c\/li\u003e\n\u003cli\u003eThe Null Structure in the Semi-Hyperboloidal Frame\u003c\/li\u003e\n\u003cli\u003eSobolev and Hardy Inequalities on Hyperboloids\u003c\/li\u003e\n\u003cli\u003eRevisiting Scalar Wave Equations\u003c\/li\u003e\n\u003cli\u003eFundamental \u003ci\u003eL\u003c\/i\u003e\u003csup\u003e∞\u003c\/sup\u003e and \u003ci\u003eL\u003c\/i\u003e\u003csup\u003e2\u003c\/sup\u003e Estimates\u003c\/li\u003e\n\u003cli\u003eSecond-Order Dervatives of the Wave Components\u003c\/li\u003e\n\u003cli\u003eNull Forms and Decay in Time\u003c\/li\u003e\n\u003cli\u003e\n\u003ci\u003eL\u003c\/i\u003e\u003csup\u003e2\u003c\/sup\u003e Estimate on the Interaction Terms\u003c\/li\u003e\n\u003cli\u003eThe Local Well-Posedness Theory\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students and researchers in analysis and differential equations. This book could serve as part of graduate course on nonlinear wave equations.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47139929161968,"sku":"9789814641647","price":30.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814641647_p0.jpg?v=1763692631","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814641647","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}