Nonlinear wave equations

• 作者： Li, Tatsien, author.
• 其他作者：
  • Zhou, Yi, author.
  • SpringerLink (Online service)
• 其他題名：
  • Series in contemporary mathematics ;
• 出版： Berlin, Heidelberg : Springer Berlin Heidelberg :Imprint: Springer
• 叢書名： Series in contemporary mathematics,volume 2
• 主題： Nonlinear wave equations. , Mathematics. , Partial Differential Equations. , Difference and Functional Equations. , Calculus of Variations and Optimal Control; Optimization.
• ISBN： 9783662557259 (electronic bk.) 、 9783662557235 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function.
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• 摘要註: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle.
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