Monday, May 28, 2018 - 09:45 in V2-210/216
On the supercritical defocusing wave equation outside a ball
A talk in the Keine Reihe series by
Piero D’Ancona from Sapienza Università di Roma
| Abstract: |
In this work I consider a defocusing semilinear wave equation, with a power nonlinearity, defined on the outside of the unit ball of $\mathbb{R}^n$, and with Dirichlet conditions at the boundary. The power is assumed to be sufficiently large, $p > O(n)$, and the space dimension is $3$ or larger. Even in the radial case, the corresponding problem on $\mathbb{R}^n$ is completely open. Here I construct a family of large global solutions, whose data are small perturbations of radial initial data in suitable weighted Sobolev norms of higher order.
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