Results 91 to 100 of about 15,291 (210)

The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

Axioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
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On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order [PDF]

, 1991
summary:The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher ...
Balanda, L., Viszus, E.
core  

Regularity of viscosity solutions to fully nonlinear elliptic transmission problems

, 2023
We develop the regularity theory of viscosity solutions to transmission problems for fully nonlinear second order uniformly elliptic equations. Our results give a complete theory of existence, uniqueness, comparison principle, and regularity of solutions
Stinga, P. R., Soria-Carro, M.
core  

Online Regularized Nonlinear Acceleration

, 2018
Regularized nonlinear acceleration (RNA) estimates the minimum of a function by post-processing iterates from an algorithm such as the gradient method. It can be seen as a regularized version of Anderson acceleration, a classical acceleration scheme from numerical analysis. The new scheme provably improves the rate of convergence of fixed step gradient
Scieur, Damien, Oyallon, Edouard, d'Aspremont, Alexandre, Bach, Francis   +3 more
openaire   +2 more sources

Strong Approximations for Nonlinear Transformations of Integrated Time Series [PDF]

In this paper we establish the strong approximations for the nonlinear transformations of integrated time series. Both the asymptotically homogeneous and integrable transformations are considered, and the explicit rates for the convergence to their limit
Park, Joon
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Regularity and stochasticity of nonlinear dynamical systems

, 2017
This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand ...
Akhmet, Marat, Kivilcim, Aysegul
core   +1 more source

Partial regularity for nonlinear elliptic systems

, 1999
We consider nonlinear elliptic systems of divergence type. We provide a new method for proving partial regularity for weak solutions, based on a generalization of the technique of harmonic approximation.
Duzaar, F., Grotowski, J.F., Technische Univ. Berlin (Germany). Sonderforschungsbereich 288 -Differentialgeometrie und Quantenphysik   +2 more
core  

The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations

Axioms
In this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
doaj   +1 more source

Optimal partial regularity for nonlinear sub-elliptic systems

, 2012
In this paper, we consider partial regularity for weak solutions of second-order nonlinear sub-elliptic systems in Carnot groups. By the method of A-harmonic approximation, we establish optimal interior partial regularity of weak solutions to systems ...
Zhong Tan, Chen, Shuhong, Shuhong Chen, Tan, Zhong   +3 more
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Approximate controllability and regularity for nonlinear differential equations

Advances in Difference Equations, 2011
In this article, we deal with the existence, uniqueness, and a variation of solutions of the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator.
Kim Jin-Ran, Jeong Jin-Mun, Ju Eun-Young
doaj