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The Null Controllability of Transmission Wave-Schrödinger System with a Boundary Control
This paper is devoted to investigate the null controllability of the transmission wave-Schrödinger system with only one boundary control. The domain...
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Tropical convexity in location problems
We investigate location problems where the optimal solution is found within the tropical convex hull of the given input points. Our initial focus is...
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On solving a rank regularized minimization problem via equivalent factorized column-sparse regularized models
Rank regularized minimization problem is an ideal model for the low-rank matrix completion/recovery problem. The matrix factorization approach can...
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On Necessary Optimality Conditions for Sets of Points in Multiobjective Optimization
Taking inspiration from what is commonly done in single-objective optimization, most local algorithms proposed for multiobjective optimization extend...
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Singular value inequalities for submultiplicative and subadditive functions of matrices
We prove new singular value inequalities involving submultiplicative and subadditive functions of matrices. Singular value inequalities for sums and...
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Discrete-time stop** games with risk-sensitive discounted cost criterion
In this paper, we focus on the discrete-time stop** games under the risk-sensitive discounted cost criterion. The state space and the action spaces...
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On weaker notions for Kähler-Ricci solitons
We show that shrinking Kähler-Ricci solitons over a compact Kähler manifold are gradient shrinking Kähler-Ricci solitons. The proof relies on a...
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Approximation Methods for a Class of Non-Lipschitz Mathematical Programs with Equilibrium Constraints
We consider how to solve a class of non-Lipschitz mathematical programs with equilibrium constraints (MPEC) where the objective function involves a...
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Dynamics for a Charge Transfer Model with Cross-Diffusion: Turing Instability of Periodic Solutions
This paper is devoted to a charge transfer model with cross-diffusion under Neumann boundary conditions. We investigate how the cross-diffusion could...
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Integer Optimal Control with Fractional Perimeter Regularization
Motivated by many applications, optimal control problems with integer controls have recently received a significant attention. Some state-of-the-art...
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State-Dependent Swee** Processes: Asymptotic Behavior and Algorithmic Approaches
In this paper, we investigate the asymptotic properties of a particular class of state-dependent swee** processes. While extensive research has...
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A class of fully nonlinear equations on Riemannian manifolds with negative curvature
In this paper, we consider a class of fully nonlinear equations on Riemannian manifolds with negative curvature which naturally arise in conformal...
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Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains
In this paper we prove the existence of multiple positive solutions for a quasilinear elliptic problem with unbalanced growth in expanding domains by...
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Minimal measures beyond Mather
For a positive definite Lagrangian, the minimal measure was defined in terms of first homology or cohomology class. For a configuration manifold that...