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 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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Deep learning phase‐field model for brittle fractures
International Journal for Numerical Methods in Engineering, Volume 124, Issue 3, Page 620-638, 15 February 2023., 2023 Abstract We present deep learning phase‐field models for brittle fracture. A variety of physics‐informed neural networks (PINNs) techniques, for example, original PINNs, variational PINNs (VPINNs), and variational energy PINNs (VE‐PINNs) are utilized to solve brittle phase‐field problems.
Yousef Ghaffari Motlagh +2 more
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Evolutionary dynamics on a regular networked structured and unstructured multi‐population
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
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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 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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