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.
By:
Tatsien Li, Yi Zhou Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Country of Publication: Germany Edition: 1st ed. 2017 Volume: 2 Dimensions:
Height: 235mm,
Width: 155mm,
Weight: 7.332kg ISBN:9783662557235 ISBN 10: 3662557231 Series:Series in Contemporary Mathematics Pages: 391 Publication Date:06 December 2017 Audience:
Professional and scholarly
,
Undergraduate
Format:Hardback Publisher's Status: Active