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arxiv: 1209.2203 · v2 · pith:DJ7SPAH4new · submitted 2012-09-11 · 🧮 math.DG · math.CV

Complex Monge Ampere Equations

D. H. Phong , Jian Song , J. Sturm This is my paper
classification 🧮 math.DG math.CV
keywords equationscomplexmethodstheoryampereclassesclassicalcohomology
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This is a survey of some of the recent developments in the theory of complex Monge-Ampere equations. The topics discussed include refinements and simplifications of classical a priori estimates, methods from pluripotential theory, variational methods for big cohomology classes, semiclassical constructions of solutions of homogeneous equations, and envelopes.

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  1. Parabolic complex Monge-Ampere equations on compact Kahler manifolds

    math.AP 2019-06 unverdicted novelty 4.0

    Authors establish long-time existence and convergence results for general parabolic complex Monge-Ampere type equations on compact Kahler manifolds without convexity or concavity assumptions on the operator.