8 citations · 10 across the 10 of their papers we have counts for
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math.AP2016
Perron's method for pathwise viscosity solutions
Benjamin Seeger
We use Perron's method to construct viscosity solutions of fully nonlinear degenerate parabolic pathwise (rough) partial differential equations. This provides an intrinsic method f…
math.AP2016★ 8 cited
Homogenization of pathwise Hamilton-Jacobi equations
Benjamin Seeger
We present qualitative and quantitative homogenization results for pathwise Hamilton-Jacobi equations with "rough" multiplicative driving signals. When there is only one such signa…
math.AP2016★ 1 cited
Homogenization of Hamilton-Jacobi equations with rough time dependence
Benjamin Seeger
We consider viscosity solutions of Hamilton-Jacobi equations with oscillatory spatial dependence and rough time dependence. The time dependence is in the form of the derivative of…