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In this note, we prove almost sure global well-posedness of the energy-critical defocusing nonlinear wave equation on T^d, d=3,4, and 5, with random initial data below the energy space.
|Number of pages||27|
|Journal||Tohoku mathematical journal|
|Publication status||Published - 12 Sep 2017|
- nonlinear wave equation
- probabilistic well-posedness
- almost sure global existence
- finite speed of propagation
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ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
1/03/15 → 29/02/20