Analyticity of solutions of the Korteweg-de Vries equation
Tarama, Shigeo
J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 1-32 / Harvested from Project Euclid
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We consider the analytic smoothing effect for the KdV equation. That is to say, if the initial data given at $t = 0$ decays very rapidly, the solution to the Cauchy problem becomes analytic with respect to the space variable for $t > 0$. In this paper we show this effect by using the inverse scattering method which transforms the KdV equation to a linear dispersive equation whose analytic smoothing effect is shown through the properties of the Airy function.
Publié le : 2004-05-15
Classification:  35Q53,  35B65 
@article{1250283580,
     author = {Tarama, Shigeo},
     title = {Analyticity of solutions of the Korteweg-de Vries equation},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 1-32},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283580}
}

Tarama, Shigeo. Analyticity of solutions of the Korteweg-de Vries equation. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  1-32. http://gdmltest.u-ga.fr/item/1250283580/