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Towards Nonlinearity: The <i>p</i>-Regularity Theory. [PDF]
Entropy (Basel)We present recent advances in the analysis of nonlinear problems involving singular (degenerate) operators. The results are obtained within the framework of p-regularity theory, which has been successfully developed over the past four decades. We illustrate the theory with applications to degenerate problems in various areas of mathematics, including ...
Bednarczuk E +4 more
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Regularized nonlinear acceleration [PDF]
Mathematical Programming, 2018 We describe a convergence acceleration technique for unconstrained optimization problems. Our scheme computes estimates of the optimum from a nonlinear average of the iterates produced by any optimization method. The weights in this average are computed via a simple linear system, whose solution can be updated online.
Scieur, Damien +2 more
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Boundary regularity of weak solutions to nonlinear elliptic obstacle problems
Boundary Value Problems, 2006 We study the boundary regularity of weak solutions to nonlinear obstacle problem with C1,β-obstacle function, and obtain the Cloc1,α boundary regularity.
Chu Yuming, M. Junxia
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Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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p-Regular nonlinear dynamics [PDF]
Doklady Mathematics, 2014 This article is devoted to the investigation of a periodic problem of the following form: \[ \dot{x}=f(\mu, x),\; x(0)=x(\tau),\eqno{(1)} \] where \(f\in C^{p+1} (\mathbb R\times\mathbb R^n)\to \mathbb R^n\) and \(f(\mu,x^\ast)=0\) for all \(\mu\in \mathbb R\).
Medak, Beata, Tret'yakov, Alexey A.
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Open Mathematics, 2022 In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries ...
Zhao Xiangqing +2 more
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Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
Advances in Mathematical Physics, 2022 In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic ...
Junli Zhang, Jialin Wang
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Nonlinear regularization techniques for seismic tomography [PDF]
Journal of Computational Physics, 2010 23 pages, 7 figures. Typographical error corrected in accelerated algorithms (14) and (20)
Ignace Loris +4 more
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Stochastic Tree Ensembles for Regularized Nonlinear Regression [PDF]
Journal of the American Statistical Association, 2021 This paper develops a novel stochastic tree ensemble method for nonlinear regression, which we refer to as XBART, short for Accelerated Bayesian Additive Regression Trees. By combining regularization and stochastic search strategies from Bayesian modeling with computationally efficient techniques from recursive partitioning approaches, the new method ...
Jingyu He, P. Richard Hahn
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Regularizing Properties of Nonlinear Semigroups [PDF]
Proceedings of the American Mathematical Society, 1987 It is known that some classes of m m -accretive operators
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