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A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive map** in the intermediate sense
In this paper, we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous...
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SOME REMARKS ON SOBOLEV AND BI-SOBOLEV MAPPINGS
In this note, we present the state-of-the-art theory of bi-Sobolev map**s. We recall that f is a Sobolev homeomorphism if f belongs to
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Sturm–Liouville Differential Inclusions with Set-Valued Reaction Term Depending on a Parameter
In this paper we study the controllability for a Cauchy problem governed by a nonlinear differential inclusion driven by a Sturm–Liouville type...
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Abstract Boundaries and Continuous Extension of Biholomorphisms
We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in ℂ d , d ≥ 1. These constructions...
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Encoding Complete Metric Structures by Classical Structures
We show how to encode, by classical structures, both the objects and the morphisms of the category of complete metric spaces and uniformly continuous...
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A game theoretical approach for a nonlinear system driven by elliptic operators
In this paper we find viscosity solutions to an elliptic system governed by two different operators (the Laplacian and the infinity Laplacian) using...
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Principal curves to fractional m-Laplacian systems and related maximum and comparison principles
In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to...
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A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations
In this paper we find viscosity solutions to a coupled system composed by two equations, the first one is an obstacle type equation,
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A-Isometries and Hilbert-A-Modules Over Product Domains
For a compact set \(K \subset {\mathbb {C}}^n\) , let... -
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On diagonal operators between the sequence (LF)-spaces \(l_p({\mathcal {V}})\)
Diagonal (multiplication) operators acting between a particular class of countable inductive spectra of Fréchet sequence spaces, called sequence...
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On the loss of mass for the heat equation in an exterior domain with general boundary conditions
In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a smooth...
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Strong Measurable Continuous Modifications of Stochastic Flows
We consider stochastic flows of measurable map**s in a locally compact separable metric space ( M , ρ ) and propose a new construction that produces...
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A Low-Rank Solver for Parameter Estimation and Uncertainty Quantification in Time-Dependent Systems of Partial Differential Equations
In this work we propose a low-rank solver in view of performing parameter estimation and uncertainty quantification in systems of partial...
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Periodic solutions to second-order differential equations with fading memory
We characterize existence and uniqueness of periodic strong and mild solutions to an abstract second order differential equation with memory in...
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Spectrum and related sets: a survey
In order to understand the behaviour of a square matrix or a bounded linear operator on a Banach space or more generally an element of a Banach...