英文原版 Lectures on Non-Linear Wave Equations 非线性波动方程讲座集 C.D.Sogge 英文版进口英语原版书籍

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山东济南

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作者Sogge

出版社International Press of Boston, Inc.

ISBN9781571462794

出版时间2013-10

装帧平装

定价438元

货号YB-86975

上书时间2024-06-27

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商品描述: 内容摘要
This much-anticipated revised second edition of Christopher Sogge's 1995 work provides a self-contained account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. Sogge examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced to prove global existence results. New simplified arguments are given in the current edition that allow one to handle quasilinear systems with multiple wave speeds. The next topic concerns semilinear equations with small initial data. John's existence theorem for R1 3 is discussed with blow-up problems and some results for the spherically symmetric case. After this, general Strichartz estimates are treated. A proof of the endpoint Strichartz estimates of Keel and Tao and the Christ-Kiselev lemma are given, the material being new in this edition. Using the Strichartz estimates, the critical wave equation in R1 3 is studied.

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英文原版 Lectures on Non-Linear Wave Equations 非线性波动方程讲座集 C.D.Sogge 英文版 进口英语原版书籍