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Existence and Uniqueness of Solutions¶of an Asymptotic Equation¶Arising from a Variational Wave Equation¶with General Data

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Abstract:

We establish here the global existence and uniqueness of admissible (both dissipative and conservative) weak solutions to a canonical asymptotic equation () for weakly nonlinear solutions of a class of nonlinear variational wave equations with any L 2(ℝ) initial datum. We use the method of Young measures and mollification techniques.

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Authors and Affiliations

  1. Institute of Mathematics¶Academia Sinica¶Beijing 100080¶P.R. China, , , , , , CN

    Ping Zhang

  2. Department of Mathematics¶Indiana University¶Bloomington¶IN 47405, , , , , , US

    Yuxi Zheng

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  1. Ping Zhang
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  2. Yuxi Zheng
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Accepted April 25, 2000¶Published online November 16, 2000

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Zhang, P., Zheng, Y. Existence and Uniqueness of Solutions¶of an Asymptotic Equation¶Arising from a Variational Wave Equation¶with General Data. Arch. Rational Mech. Anal. 155, 49–83 (2000). https://doi.org/10.1007/s205-000-8002-2

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  • DOI: https://doi.org/10.1007/s205-000-8002-2

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