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Energy estimates for a class of degenerate hyperbolic equations

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Abstract

We derive estimates in usual Sobolev norms for solutions of degenerate hyperbolic equations if degenerate coefficients admit only real roots. Loss of derivatives occurs due to the degeneracy.

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Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA

    Qing Han

  2. School of Mathematical Sciences, Peking University, 100871, Beijing, China

    Qing Han

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  1. Qing Han
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Correspondence to Qing Han.

Additional information

The author acknowledges the support of NSF Grant DMS-0654261 and Changjiang Scholarship of China at Peking University.

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Han, Q. Energy estimates for a class of degenerate hyperbolic equations. Math. Ann. 347, 339–364 (2010). https://doi.org/10.1007/s00208-009-0437-2

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  • DOI: https://doi.org/10.1007/s00208-009-0437-2

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