Summary
In this paper we prove Stroock-Varadhan type theorems for the topological support of a hyperbolic stochastic partial differential equation in the α-Hölder norm, for α∈(0, 1/2). Our approach is based on absolutely continuous transformations of Ω defined using non-homogeneous approximations of the Brownian sheet.
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Partially supported by a grant of the DGICYT no PB 90–0452. This work has been partially done while the author was visiting the “Laboratoire de Probabilités” at Paris VI
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Millet, A., Sanz-Solé, M. The support of the solution to a hyperbolic SPDE. Probab. Th. Rel. Fields 98, 361–387 (1994). https://doi.org/10.1007/BF01192259
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DOI: https://doi.org/10.1007/BF01192259