Bowoo Kang

collaborators

3 papers

math.CV2026

Weak Solutions to the complex Monge-AmpÃ¨re flows on compact KÃ¤hler manifolds : general measures on the right-hand side

Bowoo Kang

We show the existence of a bounded solution to the Cauchy problem for the complex Monge-AmpÃ¨re flow on a compact KÃ¤hler manifold, with the right-hand side of the form $dt \wedge…

math.CV2025

A general comparison principle for the pluripotential complex Monge-AmpÃ¨re flow

Bowoo Kang

We prove a comparison principle for the pluripotential complex Monge-AmpÃ¨re flows for the right-hand side of the form $d t \land d I^¼$ where $d I^¼$ is dominated by a Monge-AmpÃ¨re m…

math.CV2025

The Pluripotential Cauchy-Dirichlet problem for the Complex Monge-AmpÃ¨re flow with a general measure on the right-hand side

Bowoo Kang

We show that the pluripotential Cauchy-Dirichlet problem for the complex Monge-AmpÃ¨re flow is solvable for the right-hand side of the form $d t \land d I^¼$ where $d I^¼$ is dominated…