A semilinear non-homogeneous problem related to Korteweg-de Vries Equation
DOI:
https://doi.org/10.22199/issn.0717-6279-5825Keywords:
semilinear problem, KdV equation, existence, uniqueness, regularity, anisotropic Sobolev spaceAbstract
In this paper, we consider a non-homogeneous generalized Korteweg-de Vries problem with some hypotheses on the right-hand side, and we give a new regularity result of the solution in an anisotropic Sobolev space. Then we apply the obtained result to a non-homogeneous KdV problem. This work is an extension of solvability results for a right-hand side f in Lebesgue space.
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