Invariant measure for the cubic wave equation on the unit ball of $R^3$

Details Invariant measure for the cubic wave equation on the unit ball of $R^3$ Invariant measure for the cubic wave equation on the unit ball of $R^3$

2011-01-25

arxiv.org/abs/1101.4837v1

Mathematics

Analysis of PDEs

Scientific paper

This paper deals with the invariance of a measure on Sobolev spaces of low regularity under the flow of the cubic non linear wave equation on the unit ball of 3 under the assumption of spherical symmetry. It presents two aspects, an analytic one which includes the treatment of local properties of the flow, and a probabilistic one, which is mainly related to the global extension of the flow and the invariance of the measure.

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