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Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints
We investigate a multiobjective optimal control problem, governed by a strongly continuous semigroup operator in an infinite dimensional separable...
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Stability of Multiplier Ideal Sheaves
In the present article, the authors find and establish stability of multiplier ideal sheaves, which is more general than strong openness.
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Pointwise adaptive non-conforming finite element method for the obstacle problem
In this article, we develop a posteriori error analysis of a non-conforming finite element method in the supremum norm for the elliptic obstacle...
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Integral Estimates and Multiplier Operators from Normal Weight General Function Spaces to Bloch Type Spaces
In this paper, we investigate the boundedness of the multiplier operator between the normal weight general function space and the normal weight Bloch...
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Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability
We prove an operator-valued Laplace multiplier theorem for causal translation-invariant linear operators which provides a characterization of...
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Pointwise convergence for the elastic wave equation
We study pointwise convergence of the solution to the elastic wave equation to the initial data which lies in the Sobolev spaces. We prove that the...
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Lagrange multiplier and variational equations in mechanics
The equilibrium of a structure is characterized by either Euler’s equations completed with boundary and some internal conditions, or by variational...
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On the Transfer of Information in Multiplier Equations
We derive spectral width estimates for traces of tempered solutions of a large class of multiplier equations in... -
Multiplier Algebras of Normed Spaces of Continuous Functions
In this article, we investigate some general properties of the multiplier algebras of normed spaces of continuous functions (NSCF). In particular, we...
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The Kawamata–Viehweg–Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf
In this paper we establish a Nadel-type vanishing theorem and a Kawamata–Viehweg-type vanishing theorem concerning the asymptotic multiplier ideal...
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A relaxation-based probabilistic approach for PDE-constrained optimization under uncertainty with pointwise state constraints
We consider a class of convex risk-neutral PDE-constrained optimization problems subject to pointwise control and state constraints. Due to the many...
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Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence
In this paper, we introduce the spaces of vector-valued sequences containing multiplier (weakly) statistically convergent series. The completeness of...
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Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications
In this paper, using inhomogeneous Calderón’s reproducing formulas and the space of test functions associated with a para-accretive function, the...
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Solution methodologies for minimizing a sum of pointwise minima of two functions
In this paper, an NP-hard problem of minimizing a sum of pointwise minima of two functions is considered. Using a new equivalent formula, we propose...
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Lipschitz-Type Characterizations of Musielak–Orlicz-Campanato Spaces
In this paper, the authors establish a Lipschitz-type characteriztion for Musielak–Orlicz-Campanato spaces. As applications, since pointwise...
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On a Banach Algebra Generated in its Multiplier Space and Applications to Locally Compact Groups
In this paper, we present a general version of the algebra A M ( G ) which was introduced by B. Forrest. Indeed, for a faithful commutative Banach...
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Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Semilinear Parabolic Equations
We consider multiobjective optimal control problems for semilinear parabolic systems subject to pointwise state constraints, integral state-control...