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math.PR2022★ 1 cited
Smoothness of solutions of hyperbolic stochastic partial differential equations with -vector fields
Antoine-Marie Bogso, Moustapha Dieye, Olivier Menoukeu Pamen +1
In this paper we are interested in a quasi-linear hyperbolic stochastic differential equation (HSPDE) when the vector field is merely bounded and measurable. Although the determini…
math.PR2022★ 3 cited
Malliavin differentiability of solutions of hyperbolic stochastic partial differential equations with irregular drifts
Antoine-Marie Bogso, Olivier Menoukeu Pamen
We prove path-by-path uniqueness of solution to hyperbolic stochastic partial differential equations when the drift coefficient is the difference of two componentwise monotone Bore…