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math.CV2019
Pluripotential solutions versus viscosity solutions to complex Monge-Amp{è}re flows
Vincent Guedj, Chinh H. Lu, Ahmed Zeriahi
We compare various notions of weak subsolutions to degenerate complex Monge-Amp{è}re flows, showing that they all coincide. This allows us to show that the viscosity solution coinc…
math.CV2019
Complex Hessian equations with prescribed singularity on compact Kähler manifolds
Chinh H. Lu, Van-Dong Nguyen
Let be a compact Kähler manifold of dimension and fix . We prove that the total mass of the complex Hessian measure of --subharmonic functions is n…