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math.CV2017★ 20 cited
A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations
Slawomir Dinew, Hoang-Son Do, Tat Dat To
A viscosity approach is introduced for the Dirichlet problem associated to complex Hessian type equations on domains in $\C^n$. The arguments are modelled on the theory of viscosit…
math.CV2017★ 14 cited
Regularizing properties of Complex Monge-Ampère flows II: Hermitian manifolds
Tat Dat Tô
We prove that a general complex Monge-Ampère flow on a Hermitian manifold can be run from an arbitrary initial condition with zero Lelong number at all points. Using this property,…