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20022026
most citedNon-uniqueness for non-negative solutions of parabolic stochastic partial differential equations

4 citations · 5 across the 7 of their papers we have counts for

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math.PR2024

Uniqueness for the Skorokhod problem in an orthant: critical cases

Richard F. Bass, Krzysztof Burdzy

Consider the Skorokhod problem in the closed non-negative orthant: find a solution to \[ g(t)= f(t)+ Rm(t),\] where is a given continuous vector-valued function w…

math.PR2024★ 1 cited

Pathwise non-uniqueness for Brownian motion in a quadrant with oblique reflection

Richard F. Bass, Krzysztof Burdzy

Consider the Skorokhod equation in the closed first quadrant: \[ X_t=x_0+ B_t+\int_0^t{\bf v}(X_s)\, dL_s,\] where is standard 2-dimensional Brownian motion, takes valu…

math.PR2010★ 4 cited

Non-uniqueness for non-negative solutions of parabolic stochastic partial differential equations

K. Burdzy, C. Mueller, E. A. Perkins

Pathwise non-uniqueness is established for non-negative solutions of the parabolic stochastic pde where $\dot…