{"product_id":"evolution-equations-and-approximations-kazufumi-ito-9789812380265","title":"Evolution Equations and Approximations","description":"This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and the Lie-Trotter type product formula give a mathematical framework for the convergence analysis of numerical approximations of solutions to a general class of partial differential equations. This book contains examples demonstrating the applicability of the generation as well as the approximation theory.In addition, the Kobayashi-Oharu approach of locally quasi-dissipative operators is discussed for homogeneous as well as nonhomogeneous equations. Applications to the delay differential equations, Navier-Stokes equation and scalar conservation equation are given.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Kazufumi Ito,Franz Kappel\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9812380264\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789812380265\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/28\/2002\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 520\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.92lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.02h x 6.20w x 1.25d","brand":"Kazufumi Ito","offers":[{"title":"Hardcover","offer_id":48448108134655,"sku":"9789812380265","price":187.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d94dd058-7cb6-45ad-8719-b6fe299b0667.jpg?v=1777236947","url":"https:\/\/www.whiterainbookhouse.com\/products\/evolution-equations-and-approximations-kazufumi-ito-9789812380265","provider":"WR Book House","version":"1.0","type":"link"}