{"product_id":"dynamical-and-geometric-aspects-of-hiroyoshi-mitake-9783319542072","title":"Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations: Viasm 2016","description":"\u003cp\u003eConsisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge-Ampère and linearized Monge-Ampère equations. As an application, we solve the second boundary value problem of the prescribed affine mean curvature equation, which can be viewed as a coupling of the latter two equations. Of interest in its own right, the linearized Monge-Ampère equation also has deep connections and applications in analysis, fluid mechanics and geometry, including the semi-geostrophic equations in atmospheric flows, the affine maximal surface equation in affine geometry and the problem of finding Kahler metrics of constant scalar curvature in complex geometry. \u003c\/p\u003e \u003cp\u003eAmong other topics, the second part provides a thorough exposition of the large time behavior and discounted approximation of Hamilton-Jacobi equations, which have received much attention in the last two decades, and a new approach to the subject, the nonlinear adjoint method, is introduced. The appendix offers a short introduction to the theory of viscosity solutions of first-order Hamilton-Jacobi equations.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Hiroyoshi Mitake,Nam Q. Le\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319542079\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319542072\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/16\/2017\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 228\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.75lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.51d","brand":"Hiroyoshi Mitake","offers":[{"title":"Paperback","offer_id":47930929479935,"sku":"9783319542072","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_c2f57673-4295-4140-bbc4-36c19aca27a8.jpg?v=1766345269","url":"https:\/\/www.whiterainbookhouse.com\/products\/dynamical-and-geometric-aspects-of-hiroyoshi-mitake-9783319542072","provider":"WR Book House","version":"1.0","type":"link"}