The Cauchy problem for the Korteweg-De Vries equation in Bourgain’s spaces
DOI:
https://doi.org/10.17268/sel.mat.2017.02.03Keywords:
local existence and uniqueness theorems, integral transforms, applications of PDE in areas other than physicsAbstract
In this paper, we study Cauchy’s problem to the Korteweg-De Vries equation in Hs with s > -3/4 . For this purpose we use the Bourgain spaces, Xs;b; and we get good local formulation to the Cauchy problem.
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