Results 21 to 30 of about 13,144,199 (261)
On optimal solution error covariances in variational data assimilation problems [PDF]
, 2010 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find unknown parameters such as distributed model coefficients or boundary conditions. The equation for the optimal solution error
Le Dimet, F.X. +3 more
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On analysis error covariances in variational data assimilation [PDF]
, 2008 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function (analysis).
Shutyaev, V. +9 more
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Determinants of purchase intention of traditional handloom apparels with geographical indication among Indian consumers [PDF]
Journal of Humanities and Applied Social Sciences, 2020 Purpose – Consumers often face a dilemma regarding the purchase decisions of traditional handloom apparel because of the non-availability of information cues that would enable them to assess the quality of the product.
Sangeetha K. Prathap, Sreelaksmi C.C.
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Iterative methods for $k$-Hessian equations [PDF]
Methods and Applications of Analysis, 2018 On a domain of the n-dimensional Euclidean space, and for an integer k=1,...,n, the k-Hessian equations are fully nonlinear elliptic equations for k >1 and consist of the Poisson equation for k=1 and the Monge-Ampere equation for k=n. We analyze for smooth non degenerate solutions a 9-point finite difference scheme. We prove that the discrete scheme
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PLoS Computational Biology, 2022 Ordinary differential equation (ODE) models are widely used to study biochemical reactions in cellular networks since they effectively describe the temporal evolution of these networks using mass action kinetics. The parameters of these models are rarely
Fabian Fröhlich, Peter K Sorger
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Asymptotic mean-value formulas for solutions of general second-order elliptic equations
Advanced Nonlinear Studies, 2022 We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and ...
Blanc Pablo +3 more
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Hessian equations of Krylov type on compact Hermitian manifolds
Open Mathematics, 2022 In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
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On the exterior problem for parabolic k-Hessian equations
Communications on Pure and Applied Analysis, 2022 <p style='text-indent:20px;'>We use Perron method to prove the existence of ancient solutions of the exterior problem for parabolic k-Hessian equations <inline-formula><tex-math id="M1">\begin{document}$ -u_tS_k(D^2u) = 1 $\end{document}</tex-math></inline-formula> with prescribed asymptotic behavior at infinity.</p>
Zhou, Ziwei, Bao, Jiguang
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Bounded solutions of a k-Hessian equation in a ball
Journal of Differential Equations, 2016 We consider the problem \begin{equation}\label{Eq:Abstract} (1)\;\;\;\begin{cases} S_k(D^2u)= λ(1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \end{cases} \end{equation} where $B$ denotes the unit ball in $\mathbb{R}^n$, $n>2k$ ($k\in \mathbb{N}$), $λ>0$ and $q > k$.
Sánchez, Justino, Vergara, Vicente
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Asymptotic behavior of solutions of a k-Hessian evolution equation [PDF]
Journal of Differential Equations, 2020 We study the long-time behavior of solutions of the $k$-Hessian evolution equation $u_t=S_{k}(D^2 u)$, posed on a bounded domain of the $n$-dimensional space with homogeneous boundary conditions. To this end, we construct a separable solution and we show that the long-time behavior of $u$ is precisely described by this special solution.
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