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Global classical solutions to the cauchy problem for nonlinear wave equations

  • Li Ta-tsien
  • Chen Yun-mei
Hyperbolic P.D.E. Theory
  • 338 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1402)

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References

  1. [1]
    S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math., 38(1985), 321–332.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    D. Christodoulou, Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure Appl. Math., 39(1986), 267–282.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    A.Matsumura, Initial value problems for some quasilinear partial differential equations in mathematical physics, Doctor Thesis, Kyoto Univ., 1980.Google Scholar
  4. [4]
    Li Ta-tsien and Chen Yun-mei, Initial value problems for nonlinear wave equations, Commu. in Partial Differential Equations, 13 (1988), 383–422.MathSciNetCrossRefGoogle Scholar
  5. [5]
    Li Ta-tsien and Chen Yun-mei, A note on the global existence of classical solutions to nonlinear wave equations, to appear in Chin. Ann. of Math.Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Li Ta-tsien
    • 1
  • Chen Yun-mei
    • 2
  1. 1.Dept. of Math. and Institute of Math.Fudan Univ.ShanghaiChina
  2. 2.Dept. of Appl. Math.Tongji Univ.ShanghaiChina

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