Results 181 to 190 of about 15,291 (210)

The Regularity of Solutions of Nonlinear Wave Equations

SIAM Journal on Mathematical Analysis, 1989
The equation studied is \(u_{tt}+(-\Delta)^ mu+au+f(u)=g\) where the nonlinear term depends on u and its derivatives and satisfies various conditions.
openaire   +1 more source

A generalized regularization method for nonlinear ill-posed problems enhanced for nonlinear regularization terms

Computer Physics Communications, 2001
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Roths, Tobias, Marth, Michael, Weese, Jürgen, Honerkamp, Josef   +3 more
openaire   +2 more sources

A Regularization Approach to Nonlinear Variable Selection.

2010
In this paper we consider a regularization approach to variable selection when the regression function depends nonlinearly on a few input variables. The proposed method is based on a regularized least square estimator penalizing large values of the partial derivatives.
ROSASCO, LORENZO, Santoro M, MOSCI, SOFIA, VILLA, SILVIA, VERRI, ALESSANDRO   +4 more
openaire   +2 more sources

Regularity of Solutions for Nonlinear Systems

2017
In this chapter we establish sufficient conditions for regularity of all weak solutions for nonlinear systems. We note that the respective Cauchy problems may have nonunique weak solution. In Sect. 2.1 we establish regularity of all weak solutions for parabolic feedback control problems.
Michael Z. Zgurovsky, Pavlo O. Kasyanov
openaire   +1 more source

Interior regularity for nonlinear equations

2018
So far, we have just dealt with linear problems and the wealth of different situations was only based on the possibility of varying the elliptic operator, the boundary conditions and the number of dimensions involved in the equations. We will see now that Nirenberg’s technique is also particularly appropriate in dealing with nonlinear partial ...
Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi   +2 more
openaire   +1 more source

On the Regularity of Nonlinear Subelliptic Equations

2009
We prove C⧜ regularity results for Lipschitz solutions of nondegenerate quasilinear subelliptic equations of p-Laplacian type for a class of Hormander vector fields that include certain nonnilpotent structures.
András Domokos, Juan J. Manfredi
openaire   +1 more source

Nonlinear metric regularity on fixed sets

Optimization, 2023
Nguyen Huu Tron, Huynh Van Ngai
exaly  

Regularity in Nonlinear Control

2021
openaire   +1 more source

C1 regularity for some degenerate/singular fully nonlinear elliptic equations

Applied Mathematics Letters, 2023
Sumiya Baasandorj, Sun-Sig Byun, Jehan Oh   +2 more
exaly  

Growth conditions and regularity for weak solutions to nonlinear elliptic pdes

Journal of Mathematical Analysis and Applications, 2021
Paolo Marcellini
exaly