Results 11 to 20 of about 11,498 (178)
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Studies in Applied Mathematics, Volume 150, Issue 1, Page 92-118, January 2023., 2023 Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
wiley +1 more source
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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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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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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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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Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux [PDF]
arXiv, 2023 We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dynamics and traffic flow, without any additional conditions on finiteness/discreteness of the set of discontinuities or on the monotonicity of the kernel/the discontinuous coefficient.
arxiv
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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Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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Well-Posedness for Generalized Set Equilibrium Problems
Abstract and Applied Analysis, 2013 We study the well-posedness for generalized set equilibrium problems (GSEP) and propose two types of the well-posed concepts for these problems in topological vector space settings. These kinds of well-posedness arise from some well-posedness
Yen-Cherng Lin
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