Results 1 to 10 of about 11,742 (225)
Tykhonov well-posedness of split problems [PDF]
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
doaj +3 more sources
Generic well-posedness in minimization problems [PDF]
Abstract and Applied Analysis, 2005 The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how
A. Ioffe, R. E. Lucchetti
doaj +3 more sources
Well-posedness of difference elliptic equation [PDF]
Discrete Dynamics in Nature and Society, 1997 The exact with respect to step h∈(0,1] coercive inequality for solutions in Ch of difference elliptic equation is established.
Pavel E. Sobolevskii
doaj +4 more sources
Metric characterizations for well-posedness of split hemivariational inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split ...
Qiao-yuan Shu, Rong Hu, Yi-bin Xiao
doaj +2 more sources
On the
Communications on Pure and Applied Mathematics, 2020 We show in full generality the stability of optimal transport paths in branched transport: namely, we prove that any limit of optimal transport paths is optimal as well. This solves an open problem in the field (cf. Open problem 1 in the bookOptimal transportation networksby Bernot, Caselles, and Morel), which has been addressed up to now only under ...
Colombo, Maria +2 more
openaire +4 more sources
Well Posedness of New Optimization Problems with Variational Inequality Constraints
Fractal and Fractional, 2021 In this paper, we studied the well posedness for a new class of optimization problems with variational inequality constraints involving second-order partial derivatives.
Savin Treanţă
doaj +1 more source
On the well-posedness of Galbrun's equation
Journal de Mathématiques Pures et Appliquées, 2021 Compared to the previous version some typos have been corrected and minor cosmetic changes have been ...
Hägg, Linus, Berggren, Martin
openaire +4 more sources
Well posedness of second-order impulsive fractional neutral stochastic differential equations
AIMS Mathematics, 2021 In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space.
Ramkumar Kasinathan +3 more
doaj +1 more source
Well posedness for one class of elliptic equations with drift
Boundary Value Problems, 2023 We studied one class of second-order elliptic equations with intermediate coefficient and proved that the semi-periodic problem on a strip is unique solvable in Hilbert space.
Kordan N. Ospanov
doaj +1 more source
Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
doaj +1 more source