Nonlinear Wave Equations
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Beschreibung
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.Establishes the complete lower bound estimates of lifespan for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions
Proposes the global iteration method, which offers a unified and straightforward approach to the problems
Accompanies readers fro
m the basics to the latest advances in the fieldEstablishes the complete lower bound estimates of lifespan for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions Proposes the global iteration method, which offers a unified and straightforward approach to the problems Accompanies readers fro m the basics to the latest advances in the field Includes supplementary material: sn.pub/extras
Autor*in
Tatsien Li
Themen in »Nonlinear Wave Equations«
Cauchy problem asymptotic stability blow-up phenomenon global iteration method lower bound estimates of life-span null solution partial differential equations