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ON WELL-POSEDNESS IN OPTIMIZATION [PDF]
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 1996 The author discusses the necessity to regularize infinite-dimensional extremum problems. It is shown that the convergence of optimal values of ``approximate'' problems and the weak convergence of a subsequence of optimal solutions can be guaranteed without any stabilizer, assuming epi- and pointwise convergence of cost functionals and Mosco convergence
R Lepp
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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
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Well-posedness for the Navier–Stokes Equations [PDF]
Advances in Mathematics, 2001 The existence of a global solution to the Cauchy problem for the Navier-Stokes equations \[ \begin{aligned} &\frac{\partial v}{\partial t}+(v\cdot\nabla)v-\Delta v+\nabla p=0,\qquad \text{div }v=0 \quad \text{in } \mathbb{R}^n\times \mathbb{R}^+\\ &v(x,0)=v_0(x), \qquad x\in \mathbb{R}^n \end{aligned} \tag{1} \] is discussed.
Herbert Koch, Daniel Tataru
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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
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Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators [PDF]
Journal of Inequalities and Applications, 2018 The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators.
Caijing Jiang
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Well-posedness Results for Models of Elastomers
Journal of Mathematical Analysis and Applications, 2002 This paper deals with the theoretical foundations of a series of models for the dynamic behaviour of elastomers. The authors consider well-posedness of the basic model with three different constitutive laws. First they show that the nonlinear problem with no hysteresis is well posed. Moreover, the results demonstrate that well-posedness can be achieved
Azmy S. Ackleh +2 more
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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
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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
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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
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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
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