Nonlinear Wave Equations

  • Tatsien Li
  • Yi Zhou

Part of the Series in Contemporary Mathematics book series (SCMA, volume 2)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Tatsien Li, Yi Zhou
    Pages 1-16
  3. Tatsien Li, Yi Zhou
    Pages 17-33
  4. Tatsien Li, Yi Zhou
    Pages 35-64
  5. Tatsien Li, Yi Zhou
    Pages 65-111
  6. Tatsien Li, Yi Zhou
    Pages 363-382
  7. Tatsien Li, Yi Zhou
    Pages E1-E1
  8. Back Matter
    Pages 383-391

About this book


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.


Cauchy problem asymptotic stability blow-up phenomenon global iteration method lower bound estimates of life-span null solution

Authors and affiliations

  • Tatsien Li
    • 1
  • Yi Zhou
    • 2
  1. 1.School of Mathematical SciencesFudan UniversityShanghaiChina
  2. 2.School of Mathematical SciencesFudan UniversityShanghaiChina

Bibliographic information