Results 41 to 50 of about 15,216,637 (286)
Well-Posedness Results of Certain Variational Inequalities
Mathematics, 2022 Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and ...
Savin Treanţă
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Tykhonov well-posedness of split problems
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
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Well-posedness of distribution dependent SDEs with singular drifts [PDF]
Bernoulli, 2018 In this paper we consider the following distribution dependent SDE: $$ {\mathrm d} X_t=\sigma_t(X_t,\mu_{X_t}){\mathrm d} W_t+b_t(X_t,\mu_{X_t}){\mathrm d} t, $$ where $\mu_{X_t}$ stands for the distribution of $X_t$. We show the strong well-posedness of
M. Rockner, Xicheng Zhang
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On some variational inequality-constrained control problems
Journal of Inequalities and Applications, 2022 In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of ...
Savin Treanţă +2 more
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Well-posedness of the plasma-vacuum interface problem [PDF]
, 2013 We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compressible MHD equations, while in the vacuum region we consider the pre ...
Secchi, Paolo, Trakhinin, Yuri
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The Jordan–Moore–Gibson–Thompson Equation: Well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time [PDF]
Mathematical Models and Methods in Applied Sciences, 2019 In this paper, we consider the Jordan–Moore–Gibson–Thompson equation, a third-order in time wave equation describing the nonlinear propagation of sound that avoids the infinite signal speed paradox of classical second-order in time strongly damped models
B. Kaltenbacher, Vanja Nikoli'c
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On the Well-posedness of Bayesian Inverse Problems [PDF]
SIAM/ASA J. Uncertain. Quantification, 2019 The subject of this article is the introduction of a weaker concept of well-posedness of Bayesian inverse problems. The conventional concept of (`Lipschitz') well-posedness in [Stuart 2010, Acta Numerica 19, pp.
J. Latz
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α-Well-Posedness for Mixed Quasi Variational-Like Inequality Problems
Abstract and Applied Analysis, 2011 The concepts of α-well-posedness, α-well-posedness in the generalized sense, L-α-well-posedness and L-α-well-posedness in the generalized sense for mixed quasi variational-like inequality problems are investigated.
Jian-Wen Peng, Jing Tang
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Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition
Boundary Value Problems, 2021 The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed problems with integral conditions. First, an a priori estimate is established for the associated linear problem and the density of the operator range generated ...
Abdelkader Djerad +2 more
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On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces [PDF]
Communications in Partial Differential Equations, 2019 We investigate the existence and uniqueness issues of the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial velocity u0 and magnetic field B0 in critical regularity spaces.
R. Danchin, Jin Tan
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