A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
نویسندگان
چکیده
منابع مشابه
Complex Monge-ampère of a Maximum
Pluri-subharmonic (psh) functions play a primary role in pluri-potential theory. They are closely related to the operator dd c = 2i∂ ¯ ∂ (with notation d = ∂ + ¯ ∂ and d c = i(¯ ∂ − ∂)), which serves as a generalization of the Laplacian from C to C dim for dim > 1. If u is smooth of class C 2 , then for 1 ≤ n ≤ dim, the coefficients of the exterior power (dd c u) n are given by the n×n sub-dete...
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Gradient flows in the Wasserstein space have become a powerful tool in the analysis of diffusion equations, following the seminal work of Jordan, Kinderlehrer and Otto (JKO). The numerical applications of this formulation have been limited by the difficulty to compute the Wasserstein distance in dimension > 2. One step of the JKO scheme is equivalent to a variational problem on the space of con...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-09-04730-8