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An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
We revisit Yudovich’s well-posedness result for the 2-dimensional Euler equations for an inviscid incompressible fluid on either a sufficiently...
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Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds
This paper deals with a certain class of multiobjective semi-infinite programming problems with switching constraints (in short, MSIPSC) in the...
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A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution
We investigate the strong convergence properties of a Nesterov type algorithm with two Tikhonov regularization terms in connection to the...
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Optimal methods for convex nested stochastic composite optimization
Recently, convex nested stochastic composite optimization (NSCO) has received considerable interest for its applications in reinforcement learning...
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Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups
This article marks the inaugural exploration of certain classes of negative or positive definite functions in several p -adic variables. Associated...
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Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients
In this work we further develop a nonlocal calculus theory (initially introduced in Bellido et al. (Adv Nonlinear Anal 12:20220316, 2023)) associated...
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A Liouville theorem for elliptic equations with a potential on infinite graphs
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable...
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Bounds of the Solution Set to the Polynomial Complementarity Problem
In this paper, we investigate bounds of solution set of the polynomial complementarity problem. When a polynomial complementarity problem has a...
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Well-posedness for Hamilton–Jacobi equations on the Wasserstein space on graphs
In this manuscript, given a metric tensor on the probability simplex, we define differential operators on the Wasserstein space of probability...
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Palais–Smale sequences for the prescribed Ricci curvature functional
We obtain a complete description of divergent Palais–Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As...
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Upper Semicontinuity of Random Attractors for Random Differential Equations with Nonlinear Diffusion Terms I: Finite-Dimensional Case
The upper semicontinuity of random attractors for stochastic/random (partial) differential equations with nonlinear diffusion term is an unsolved...