Abstract
We examine the question of the minimal Sobolev regularity required to construct local solutions to the Cauchy problem for the Benney--Luke (BL) and generalized Benney--Luke (gBL) equations. As a consequence we prove that the initial-value problems are globally well-posed in the energy space.
Citation
A. González N.. "The Cauchy problem for Benney-Luke and generalized Benney-Luke equations." Differential Integral Equations 20 (12) 1341 - 1362, 2007. https://doi.org/10.57262/die/1356039069
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