Enhanced existence time of solutions to evolution equations of Whitham type
Peer reviewed, Journal article
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Date
2022Metadata
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- Institutt for matematiske fag [2438]
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Original version
Discrete and Continuous Dynamical Systems. Series A. 2022, 42 (8), 3841-3860. 10.3934/dcds.2022035Abstract
We show that Whitham type equations , where is a general Fourier multiplier operator of order ,
, allow for small solutions to be extended beyond their ordinary existence time. The result is valid for a range of quadratic dispersive equations with inhomogenous symbols in the dispersive regime given by the parameter