Results 11 to 20 of about 847,053 (257)
Generators with interior degeneracy on spaces of L^2 type [PDF]
Electronic Journal of Differential Equations, 2012 We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type.
Genni Fragnelli +3 more
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An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy [PDF]
Abstract and Applied Analysis, 2018 The main purpose of this work is to study an inverse source problem for degenerate/singular parabolic equations with degeneracy and singularity occurring in the interior of the spatial domain.
Khalid Atifi +3 more
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Null controllability for linear parabolic cascade systems with interior degeneracy
Electronic Journal of Differential Equations, 2016 We study the null controllability problem for linear degenerate parabolic systems with one control force through Carleman estimates for the associated adjoint problem.
Idriss Boutaayamou, Jawad Salhi
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Controllability for a population equation with interior degeneracy
, 2019 arXiv admin note: text overlap with arXiv:1812.11416, arXiv:1611 ...
Fragnelli Genni
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Singular parabolic equations with interior degeneracy and non smooth coefficients: The Neumann case
Discrete and Continuous Dynamical Systems - S, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fragnelli Genni, Mugnai Dimitri
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Null controllability of a retarded population dynamics model with interior degeneracy
Mathematical Methods in the Applied Sciences, 2023 In this work, we establish a null controllability property of a dispersive age‐structured population dynamics model with finite‐time delay on the mortality rate term. We assume that the dispersion term includes an interior degeneracy satisfying some suitable assumptions. To achieve our main results, we act according to the classical procedure, which is
Boubacar Diao +2 more
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Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
Journal of Inverse and Ill-posed Problems, 2015 Abstract We consider a parabolic problem with degeneracy in the interior of the spatial domain and we focus on the well-posedness of the problem and on inverse source problems. The novelties of the present paper are two. First, the degeneracy point is in the interior of the spatial domain.
Idriss Boutaayamou +2 more
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Lipschitz stability for linear parabolic systems with interior degeneracy
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou +2 more
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Identification of a diffusion coefficient in strongly degenerate parabolic equations with interior degeneracy [PDF]
Journal of Evolution Equations, 2014 We study two identification problems in relation with a strongly degenerate parabolic diffusion equation characterized by a vanishing diffusion coefficient $u\in W^{1,\infty},$ with the property $\frac{1}{u}\notin L^{1}. $ The aim is to identify $u$ from certain observations on the solution, by a technique of nonlinear optimal control with control in ...
FRAGNELLI, Genni +3 more
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ESAIM: Control, Optimisation and Calculus of VariationsThis paper investigates the weak unique continuation property (WUCP) for a class of high-dimensional elliptic equations with interior point degeneracy. First, we establish well-posedness results in weighted function spaces. Then, using an innovative approximation method, we derive the three sphere inequality at the degenerate point.
Weijia Wu +3 more
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