Results 71 to 80 of about 1,758 (174)
, 2022 This paper proposes a regularization of the Monge-Ampère equation in planar convex domains through uniformly elliptic Hamilton-Jacobi-Bellman equations.
Gallistl, Dietmar, Tran, Ngoc Tien
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Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions
MathematicsThis paper studies a mixed PDE containing the second time derivative and a quadratic nonlinearity of the Monge–Ampère type in two spatial variables, which is encountered in geophysical fluid dynamics.
Andrei D. Polyanin, Alexander V. Aksenov
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Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex Monge-Ampère equation (CMA) and
Andrei A. Malykh, Mikhail B. Sheftel
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Boundary Value Problems, 2017 The authors consider the impulsive differential equation with Monge-Ampère operator in the form of { ( ( u ′ ( t ) ) n ) ′ = λ n t n − 1 f ( − u ( t ) ) , t ∈ ( 0 , 1 ) , t ≠ t k , k = 1 , 2 , … , m , Δ ( u ′ ) n | t = t k = λ I k ( − u ( t k ) ) , k = 1
Xuemei Zhang, Meiqiang Feng
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The Complex Monge-Ampère Equation [PDF]
In questa trattazione si studia la regolarità delle soluzioni viscose plurisubarmoniche dell’equazione di Monge-Ampère complessa. Si tratta di un’equazione alle derivate parziali del secondo ordine completamente non lineare il cui termine del secondo ...
Guidi, Chiara
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A fully nonlinear generalized Monge-Ampere PDE on a torus
Electronic Journal of Differential Equations, 2014 We prove an existence result for a "generalized" Monge-Ampere equation, introduced in [11], under some assumptions on a flat complex 3-torus. As an application we prove the existence of Chern connections on certain kinds of holomorphic vector bundles ...
Vamsi P. Pingali
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Shaping Single Offset Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
International Journal of Antennas and Propagation, 2016 This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a
Rafael A. Penchel +2 more
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The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]
Calc Var Partial Differ Equ, 2022 Colesanti A, Ludwig M, Mussnig F.
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Convergence Rate of a Stable, Monotone and Consistent Scheme for the Monge-Ampère Equation
, 2016 We prove a rate of convergence for smooth solutions of the Monge-Ampère equation of a stable, monotone and consistent discretization. We consider the Monge-Ampère equation with a small low order perturbation.
Gerard Awanou
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The Obstacle Problem for Monge-Ampère Equation
, 1997 We consider the obstacle problem for the degenerated Monge-Ampère equation. We prove the existence of the greatest viscosity sub-solution,and the C 1;1 -regularity. Then the solution satisfies the concave uniformly elliptic equation.
Ki-Ahm Lee
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