Results 271 to 280 of about 1,150,426 (301)

On the Choice of the Regularization Parameter in Nonlinear Inverse Problems

SIAM Journal on Optimization, 1992
This paper focuses on regularization techniques for nonlinear ill-posed inverse problems. Tikhonov regularization and regularization due to the use of norm constraints are analyzed. A model function technique is proposed to iteratively determine an optimal regularization parameter or the parameter characterizing the norm constraint, and to estimate the
Kazufumi Ito, Karl Kunisch
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The Regularity of Solutions of Nonlinear Wave Equations

SIAM Journal on Mathematical Analysis, 1989
For the wave equation with lower-order nonlinearities a regularity theorem is given which ensures that solutions in certain $L^q $ are in fact smooth solutions to the equation. For equations with energy estimates the existence of global classical solutions in lower dimensions is obtained.
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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
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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
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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
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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
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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
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Regularity in Nonlinear Control

2021
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C1 Regularity for Some Degenerate/Singular Fully Nonlinear Elliptic Equations

Applied Mathematics Letters, 2023
Jehan Oh, Sumiya Baasandorj, Sun-Sig Byun   +2 more
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Nonlinear Metric Regularity on Fixed Sets

Optimization, 2023
Huynh Van Ngai, Nguyen Huu Tron
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