## 偏微分方程式セミナー: Global existence of smooth solution of a 3D loglog energy-supercritical wave equation

2011年 　 12月 5日 16時 30分 ～ 2011年 　 12月 5日 18時 00分

Tristan Roy（京都大学）

The global behavior of smooth solutions of super-critical problems is
poorly understood: this is mostly due to the lack of conservation laws in
high regularity Sobolev spaces. However, when the linearity is barely
supercritical (of a loglog type), it is possible to overcome this
difficulty. One first control a long time estimate by means of
concentration and an a priori bound of the norm of the solution in a high
regularity Sobolev space; then one finds an a posteriori bound of this norm
by combining the long time estimate with an induction on time of the
Strichartz estimates.

なお、本講演は波動セミナーと共催されます。

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