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Showing 1 to 4 of 4 for “"MONGE-AMPERE EQUATION"”.
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Local Regularity of the Complex Monge-Ampere Equation
… in the local regularity theory of the complex Monge-Ampere equation through the modern fully-nonlinear PDE point of view. We have apply the modern elliptic techniques to establish new local regularity results. These includes: regularity of small perturbed solutions, Holder regularity of the …
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ΜΙΑ ΠΙΘΑΝΟΘΕΩΡΗΤΙΚΗ ΠΡΟΣΕΓΓΙΣΗ ΤΗΣ ΕΞΙΣΩΣΗΣ MONGE-AMPERE
… OF THE GENERALISED SOLUTION OF THE REAL MONGE-AMPERE EQUATION MU=F>0 K D, K=Φ ON ΘD, D C IRD OPEN-BOUNDED CONVEX. PARTLY IN PARALLEL TO THE WORK BY B. GAVEAN, WHO TREATED THE COMPLEX CASE, GENERAL RESULTS ARE OBTAINED. SPECIFICALLY THE SOLUTION CAN BE STOCHASTICALLY REPRESENTED IF O<F E L …
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Higher canonical asymptotics of Kähler-Einstein metrics on quasi-projective manifolds
… We first develop the analysis of the Monge-Ampere operators on these weighted spaces. We construct a family of linear elliptic operators which can be viewed as certain conjugacies of the specially linearized Monge-Ampbre operators. We derive a theorem of Fredholm alternative for such …
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On Generalized Solutions to Some Problems in Electromagnetism and Geometric Optics
The Maxwell equations of electromagnetism form the foundation of classical electromagnetism, and are of interest to mathematicians, physicists, and engineers alike. The first part of this thesis concerns boundary value problems for the anisotropic Maxwell equations in Lipschitz domains. In this …