Journal
MATHEMATICS
Volume 8, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/math8050809
Keywords
modified Korteweg-de Vries equations; well-posedness; analytic Gevrey spaces; Bourgain spaces; trilinear estimates; time regularity
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Studies of modified Korteweg-de Vries-type equations are of considerable mathematical interest due to the importance of their applications in various branches of mechanics and physics. In this article, using trilinear estimate in Bourgain spaces, we show the local well-posedness of the initial value problem associated with a coupled system consisting of modified Korteweg-de Vries equations for given data. Furthermore, we prove that the unique solution belongs to Gevrey space G(sigma) x G(sigma) in x and G(3 sigma) x G(3 sigma) in t. This article is a continuation of recent studies reflected.
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