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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
7
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2
answers
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A question on the Evans-Krylov theorem and regularity of Monge-Ampere equation
In http://ams.rice.edu/leavingmsn?url=https://doi.org/10.1524/anly.1996.16.1.101
Prof. Xu-Jia Wang established the boundary estimates for second derivatives of the solution to classical Dirichlet prob …
1
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0
answers
117
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Degenerate Monge-Ampere equation on a bounded domain with $C^{2,1}$ boundary
In the paper by Guan Pengfei: "C^2 a priori estimates for degenerate Monge-Ampere equations" https://projecteuclid.org/euclid.dmj/1077242669
Prof. P. Guan proved in Theorem 1 that the degenerate Monge …