Results 31 to 40 of about 1,208,780 (193)
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates [PDF]
Journal of Inverse and Ill-posed Problems, 2022 Abstract In this paper, we consider Carleman estimates and inverse problems for the coupled quantitative thermoacoustic equations. In part I, we establish Carleman estimates for the coupled quantitative thermoacoustic equations by assuming that the coefficients satisfy suitable conditions and taking the usual weight function
Shumin Li, Yunxia Shang
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Axioms, 2023 This paper considers a 1D time-domain inverse scattering problem for the Helmholtz equation in which penetrable scatterers are to be determined from boundary measurements of the scattering data.
Nguyen Trung Thành
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Carleman Estimates and Controllability for a Degenerate Structured Population Model [PDF]
, 2020 In this paper we study the null controllability property for a single population model in which the population y depends on time t, space x, age a and size τ.
Fragnelli, Genni +3 more
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Null controllability for a singular heat equation with a memory term
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new ...
Brahim Allal +2 more
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A Strongly Ill-Posed Problem for the Equation
Cumhuriyet Science Journal, 2018 In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
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Local exact controllability of the age-dependent population dynamics with diffusion
Abstract and Applied Analysis, 2001 We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of ...
Bedr'eddine Ainseba, Sebastian Anita
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On non-quasianalytic classes of infinitely differentiable functions
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 This article investigates the connection between two positive logarithmically convex sequences {M̂n} and {Mn}, which define respectively the Carleman classes of functions infinitely differentiable on the set J and sequences {bn} specifying the values of ...
G.S. Balashova
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Carleman’s and subelliptic estimates
Duke Mathematical Journal, 1988 Für einen Differentialoperator P der Ordnung m in \(\Omega \subset R^ n\) und einer glatten reellen Funktion \(\psi\) sei \(P_{\gamma}=e^{-\psi \gamma}Pe^{\psi \gamma}\) mit \(\gamma\geq 1\) gesetzt. Verf. zeigt die Ungleichungen \(\gamma^{1/(k+1)}\| u\|_{m-1,\gamma}\leq C_ K\| P_{\gamma}u\|_{L^ 2}\) und \(\gamma^{-k/(k+1)}\| u\|_{m,\gamma}\leq C_ K ...
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Comptes Rendus. Mathématique, 2023 We show the local null-controllability of a fluid-structure interaction system coupling a viscous incompressible fluid with a damped beam located on a part of its boundary.
Buffe, Rémi, Takahashi, Takéo
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Controllability results for weakly blowing up reaction-diffusion system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains ...
Qiang Tao, Hang Gao, Ying Yang
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