On the Cauchy problem for dispersive equations with nonlinear terms involving high derivatives and with arbitrarily large initial data - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 1994

On the Cauchy problem for dispersive equations with nonlinear terms involving high derivatives and with arbitrarily large initial data

Thierry Colin
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Abstract

The aim of this article is to study the Cauchy problem for general nonlinear dispersive equations involving derivatives in the nonlinearity. The use of some decay properties of the linear part allows us to address the case of arbitrarily large initial data.
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hal-00848097 , version 1 (25-07-2013)

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Thierry Colin. On the Cauchy problem for dispersive equations with nonlinear terms involving high derivatives and with arbitrarily large initial data. Nonlinear Analysis: Theory, Methods and Applications, 1994, 22 (7), pp.835-845. ⟨10.1016/0362-546X(94)90052-3⟩. ⟨hal-00848097⟩
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