Nonanalytic solutions of the KdV equation. (English) Zbl 1062.35107

Summary: We construct nonanalytic solutions to the initial value problem for the KdV equation with analytic initial data in both the periodic and the nonperiodic cases.


35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
35B65 Smoothness and regularity of solutions to PDEs
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