Results 61 to 70 of about 5,752 (197)
Leaps and bounds towards scale separation
Journal of High Energy Physics, 2021 In a broad class of gravity theories, the equations of motion for vacuum compactifications give a curvature bound on the Ricci tensor minus a multiple of the Hessian of the warping function.
G. Bruno De Luca, Alessandro Tomasiello
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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Optimal solution error covariance in highly nonlinear problems of variational data assimilation
, 2012 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem (see, e.g.[1]) to find the initial condition, boundary conditions or model parameters.
Le Dimet, F.X. +11 more
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The Hessian equation in quaternionic space
, 2023 arXiv admin note: text overlap with arXiv:1901.07080 by other ...
Amal, Hichame +2 more
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On the curvature estimates for Hessian equations [PDF]
American Journal of Mathematics, 2019 The curvature estimates of $k$ curvature equations for general right hand side is a longstanding problem. In this paper, we totally solve the $n-1$ case and we also discuss some applications for our estimate.
Ren, Changyu, Wang, Zhizhang
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Hessian approximation in multilevel nonlinear optimization [PDF]
, 2010 This research concerns the algorithmic study of Hessian approximation in the context of multilevel nonlinear optimization problems. Methods using finite-difference approximations or secant equations are here considered.
Malmedy, Vincent
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Hessian equations on exterior domain
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Xu, Bao, Jiguang
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Primal-dual interior point QP-free algorithm for nonlinear constrained optimization
Journal of Inequalities and Applications, 2017 In this paper, a class of nonlinear constrained optimization problems with both inequality and equality constraints is discussed. Based on a simple and effective penalty parameter and the idea of primal-dual interior point methods, a QP-free algorithm ...
Jinbao Jian +3 more
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Removable Singularities of $m$-Hessian Equations
, 2016 In this paper we give a new, less restrictive condition for removability of singular sets, $E$, of smooth solutions to the m-Hessian equation (and also for more general fully nonlinear elliptic equations) in $Ω\setminus E$, $Ω\subset \mathbb R^n$.
Car, Hülya, Pröpper, René
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The weak solutions to complex Hessian equations
, 2023 In this paper, we shall study existence of weak solutions to complex Hessian equations.
Sun, Wei
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