Results 31 to 40 of about 56,245 (97)
Quantitative Stochastic Homogenization of Elliptic Equations in Nondivergence Form [PDF]
, 2016 We introduce a new method for studying stochastic homogenization of elliptic equations in nondivergence form. The main application is an algebraic error estimate, asserting that deviations from the homogenized limit are at most proportional to a power of
Armstrong, Scott N., Smart, Charles
core +1 more source
Differential invariants of generic parabolic Monge–Ampère equations [PDF]
, 2008 Some new results on the geometry of classical parabolic Monge–Ampère equations (PMAs) are presented. PMAs are either integrable, or non-integrable according to the integrability of its characteristic distribution.
D. C. Ferraioli, Alexandre M. Vinogradov
semanticscholar +1 more source
Convexity estimates for nonlinear elliptic equations and application to free boundary problems [PDF]
, 2001 We prove the convexity of the set which is delimited by the free boundary corresponding to a quasi-linear elliptic equation in a 2-dimensional convex domain.
Dolbeault, Jean, Monneau, Régis
core +3 more sources
MathematicsThe paper studies an unsteady equation with quadratic nonlinearity in second derivatives, that occurs in electron magnetohydrodynamics. In mathematics, such PDEs are referred to as parabolic Monge–Ampère equations.
Andrei D. Polyanin, Alexander V. Aksenov
doaj +1 more source
Well‐Posed and Ill‐Posed Boundary Value Problems for PDE 2013
, 2013 Abstract and Applied Analysis, Volume 2013, Issue 1, 2013.
Allaberen Ashyralyev +5 more
wiley +1 more source
Equacions en derivades parcials, geometria i control estocàstic [PDF]
, 2000 Peer ...
Cabré, Xavier
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K\"ahler-Einstein metrics: Old and New
, 2017 We present classical and recent results on K\"ahler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella, Daniele, Spotti, Cristiano
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$C^{2,\alpha}$ regularities and estimates for nonlinear elliptic and parabolic equations in geometry
, 2016 We give sharp $C^{2,\alpha}$ estimates for solutions of some fully nonlinear elliptic and parabolic equations in complex geometry and almost complex geometry, assuming a bound on the Laplacian of the solution.
Chu, Jianchun
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, 2016 We extend the generalised comparison principle for the Monge-Amp\`ere equation due to Rauch & Taylor (Rocky Mountain J. Math. 7, 1977) to nonconvex domains. From the generalised comparison principle we deduce bounds (from above and below) on solutions of
Ozanski, Wojciech
core
The parabolic quaternionic Calabi–Yau equation on hyperkähler manifolds [PDF]
We show that the parabolic quaternionic Monge-Ampère equation on a compact hyperkähler manifold has always a long-time solution which, once normalized, converges smoothly to a solution of the quaternionic Monge-Ampère equation.
Bedulli, Lucio +2 more
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