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STOCHASTIC INTEGRATION WITH RESPECT TO THE CYLINDRICAL WIENER PROCESS VIA REGULARIZATION
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2013)
Relaxation approximations and bounded variation estimates for some partial differential equation
(2002)
In this paper, we introduce a new technique for studying solutions of bounded variation for some conservation laws of first order partial differential equations and for some degenerate parabolic equations in multi-dimensional ...
ON STOCHASTIC GENERALIZED FUNCTIONS
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2011)
Higher-order boundary regularity estimates for nonlocal parabolic equations
(Springer, 2018-10)
We establish sharp higher-order Hölder regularity estimates up to the boundary for solutions to equations of the form ∂tu- Lu= f(t, x) in I× Ω where I⊂ R, Ω ⊂ Rn and f is Hölder continuous. The nonlocal operators L that ...