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Sharpness of Lower Bound Estimates on the Life-Span of Classical Solutions to the Cauchy Problem—The Case that the Nonlinear Term \(F=F(Du, D_xDu)\) on the Right-Hand Side Does not Depend on u Explicitly

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

Abstract

Consider the following Cauchy problem of nonlinear wave equations with small initial data:

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© Springer-Verlag GmbH Germany and Shanghai Scientific and Technical Publishers 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesFudan UniversityShanghaiChina
  2. 2.School of Mathematical SciencesFudan UniversityShanghaiChina

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