Results 91 to 100 of about 5,752 (197)
A posteriori error covariances in variational data assimilation
, 2009 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find some unknown parameters of the model.
Le Dimet, F.X. +13 more
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Interior Hessian estimates for sum Hessian quotient equation
Discrete and Continuous Dynamical SystemsThis paper is devoted to the interior $C^2$ estimates for a class of sum Hessian quotient equations.
Ren, Changyu, Wang, Ziyi
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On the Dirichlet problem for a class of augmented Hessian equations
, 2015 In this paper, we consider the Dirichlet problem for a new class of augmented Hessian equations. Under sharp assumptions that the matrix function in the augmented Hessian is regular and there exists a smooth subsolution, we establish global second order ...
Yang, Xiao-Ping +2 more
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Lorentz estimates for asymptotically regular fully nonlinear elliptic equations
Electronic Journal of Differential Equations, 2017 We prove a global Lorentz estimate of the Hessian of strong solutions to a class of asymptotically regular fully nonlinear elliptic equations over a $C^{1,1}$ smooth bounded domain.
Yongyong Wang +2 more
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Degenerate Complex Hessian Equations on Compact Kahler Manifolds
, 2015 Let (X, omega) be a compact Kahler manifold of dimension n, and fix m is an element of N such that 1
Lu, Hoang Chinh,, Nguyen, V. D.
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On the Symmetry of Solutions to a k-Hessian Type Equation
Advanced Nonlinear Studies, 2013 Abstract In this note we prove that if u is a negative solution to a nonlinear elliptic equation involving a Hessian operator, and u is zero on the boundary of a ball, then u is radially symmetric and increasing along the radii.
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Hölder Continuous Solutions to Complex Hessian Equations [PDF]
Potential Analysis, 2014 19 pages. Added Theorem 3.7: when the boundary is Holder continuous, there exists a Holder continuous $m$-sh extension to the ...
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G˚arding Cones and Bellman Equations in the Theory of Hessian Operators and Equations
Contemporary Mathematics. Fundamental Directions, 2017 In this work, we continue investigation of algebraic properties of G˚arding cones in the space of symmetric matrices. Based on this theory, we propose a new approach to study of fully nonlinear differential operators and second-order partial differential equations.
Ivochkina, N. M., Filimonenkova, N. V.
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Two-Dimensional Einstein Manifolds in Geometrothermodynamics
Advances in High Energy Physics, 2013 We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components.
Antonio C. Gutiérrez-Piñeres +2 more
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Sobolev inequalities and regularity of the linearized complex Monge-Ampere and Hessian equations
, 2023 Let $u$ be a smooth, strictly $k$-plurisubharmonic function on a bounded domain $\Omega\in\mathbb C^n$ with $2\leq k\leq n$. The purpose of this paper is to study the regularity of solution to the linearized complex Monge-Amp\`ere and Hessian equations ...
Zhou, Bin, Wang, Jiaxiang
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