Wave equation in the plane driven by a general stochastic measure

Bodnarchuk, I.; Radchenko, V.

doi:10.1090/tpms/1063

Wave equation in the plane driven by a general stochastic measure

Authors: I. M. Bodnarchuk and V. M. Radchenko
Translated by: S. V. Kvasko
Journal: Theor. Probability and Math. Statist. 98 (2019), 73-90
MSC (2010): Primary 60H15; Secondary 60G17, 60G57
DOI: https://doi.org/10.1090/tpms/1063
Published electronically: August 19, 2019
MathSciNet review: 3824679
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Abstract: We study the Cauchy problem for the wave equation on the plane driven by a general stochastic measure. The existence and uniqueness of a mild solution is proved. The Hölder continuity with respect to both the time and spatial variables is established for the trajectories of a solution. The continuous dependence of a solution on the initial data of the problem is proved.

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