Results 1 to 10 of about 133,406 (258)
An induction theorem and nonlinear regularity models [PDF]
SIAM Journal on Optimization, 2015 A general nonlinear regularity model for a set-valued mapping $F:X\times R_+\rightrightarrows Y$, where $X$ and $Y$ are metric spaces, is considered using special iteration procedures, going back to Banach, Schauder, Lusternik and Graves.
Khanh, Phan Q. +2 more
core +6 more sources
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
europepmc +3 more sources
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
openaire +4 more sources
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
doaj +4 more sources
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.
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Regularity for nonlinear stochastic games [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018 We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and existence results for the corresponding partial differential equations.
Parviainen, Mikko, Luiro, Hannes
openaire +5 more sources
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
openaire +2 more sources
Numerical analysis of nonlinear subdiffusion equations [PDF]
, 2017 We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $\alpha\in(0,1)$ in time.
Jin, Bangti, Li, Buyang, Zhou, Zhi
core +2 more sources