Results 21 to 30 of about 1,641,201 (192)
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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Some Estimates For The Carleman Function
The American Journal of Applied sciences, 2021 In this article we consider Carlеman’s functions, to find integral representation for the polygarmonious functions defined in unbounded domain of Euclidean space which ...
Ashurova Zebiniso Raximovna +1 more
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Null controllability of a coupled model in population dynamics [PDF]
Mathematica Bohemica, 2023 We are concerned with the null controllability of a linear coupled population dynamics system or the so-called prey-predator model with Holling type I functional response of predator wherein both equations are structured in age and space.
Younes Echarroudi
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Global Carleman estimate for stochastic parabolic equations, and its application [PDF]
, 2014 This paper is addressed to proving a new Carleman estimate for stochastic parabolic equations. Compared to the existing Carleman estimate in this respect (see [S. Tang and X. Zhang, SIAM J. Control Optim. 48 (2009) 2191–2216.], Thm.
Liu, Xu, Xu Liu
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Logarithmic Decay of Wave Equation with Kelvin-Voigt Damping
Mathematics, 2020 In this paper, we analyze the longtime behavior of the wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-diff-calculus, we obtain a Carleman estimate, and then establish an estimate on the corresponding ...
Luc Robbiano, Qiong Zhang
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Null Controllability of a Four Stage and Age-Structured Population Dynamics Model
Journal of Mathematics, 2021 This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions.
Amidou Traoré +2 more
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Insensitizing control of KDV–Burgers equations
Journal of Electrical Systems and Information Technology, 2018 This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
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An extension of the estimation for solutions of certain Laplace equations
Journal of Inequalities and Applications, 2016 In this paper, by using a new type of Carleman formula with respect to a certain Laplace operator, we estimate the growth property for solutions of certain Laplace equations defined in a smooth cone.
Bin Huang +2 more
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Longtime behavior of Kirchhoff plate equations with internal damping
四川大学学报. 自然科学版, 2023 Longtime behavior of the Kirchhoff plate equations with locally distributed internal damping is considered. The equation is equipped with either homogeneous Dirichlet boundary conditions of zero order and second order or Robin boundary conditions of ...
TIAN Jia-Xin, FU Xiao-Yu
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Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
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