Non-linear hyperbolic equations and related topics

seminar: Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrodinger equation

speaker: Tsutsumi Yoshio (Department of Mathematics, Kyoto University)

abstract: For the Cauchy problem of the nonlinear Schrodinger equation, if initial data is in H^s, the solution is usually constructed in auxiliary sapces associated with the Strichartz estimates as well as in C(0,T;H^s). A natural question is whether the solution is unique or not, if it is not assumed to be in such auxiliary spaces. This is called the unconditonal uniqueness. We show the unconditional uniqueness theorem, which is an improvement over the results of T. Kato and Furioli-Terraneo.

timetable:
Thu 6 Sep, 10:30 - 11:30, Aula Dini
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