TY  - BOOK
AU  - Li,Tatsien
AU  - Zhou,Yi
ED  - SpringerLink (Online service)
TI  - Nonlinear Wave Equations
T2  - Series in Contemporary Mathematics,
SN  - 9783662557259
AV  - QA370-380 
U1  - 515.353 23
PY  - 2017///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Differential equations, partial
KW  - Functional equations
KW  - Mathematical optimization
KW  - Partial Differential Equations
KW  - Difference and Functional Equations
KW  - Calculus of Variations and Optimal Control; Optimization
N1  - Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function
N2  - 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
UR  - https://doi.org/10.1007/978-3-662-55725-9
ER  -