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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

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Nonlinear Wave Equations

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

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Abstract

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

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, China

    Tatsien Li

  2. School of Mathematical Sciences, Fudan University, Shanghai, China

    Yi Zhou

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  1. Tatsien Li
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  2. Yi Zhou
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Correspondence to Tatsien Li .

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

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Li, T., Zhou, Y. (2017). 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. In: Nonlinear Wave Equations. Series in Contemporary Mathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55725-9_13

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