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 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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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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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 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
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On a Thermoelastic Laminated Timoshenko Beam: Well Posedness and Stability
Complexity, 2020 In this paper, we are concerned with a linear thermoelastic laminated Timoshenko beam, where the heat conduction is given by Cattaneo’s law. We firstly prove the global well posedness of the system.
Baowei Feng
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Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D
Journal of Function Spaces, 2020 In this paper, we study the thermally radiative magnetohydrodynamic equations in 3D, which describe the dynamical behaviors of magnetized fluids that have nonignorable energy and momentum exchange with radiation under the nonlocal thermal equilibrium ...
Peng Jiang, Fei Yu
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Well-Posedness of Triequilibrium-Like Problems
International Journal of Analysis and Applications, 2022 This work emphasizes in presenting new class of equilibrium-like problems, termed as equilibrium-like problems with trifunction. We establish some metric characterizations for the well-posed triequilibrium-like problems.
Misbah Iram Bloach +2 more
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, 2021 We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
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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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