Carleman estimates and observability inequalities for parabolic equations with interior degeneracy [PDF]
Advances in Nonlinear Analysis, 2013 We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem.
Genni Fragnelli, Dimitri Mugnai
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Asymptotic behavior for parabolic equations with interior degeneracy
Examples and Counterexamples, 2022 The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo, Claudete Webler
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Numerical Reconstruction of a Space-Dependent Reaction Coefficient and Initial Condition for a Multidimensional Wave Equation with Interior Degeneracy [PDF]
Mathematics, 2023 A simultaneous reconstruction of the initial condition and the space-dependent reaction coefficient in a multidimensional hyperbolic partial differential equation with interior degeneracy is of concern.
Hamed Ould Sidi +2 more
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Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients [PDF]
Advances in Nonlinear Analysis, 2017 We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Genni Fragnelli, Dimitri Mugnai
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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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Electronic Journal of Differential Equations, 2022 In this article we consider the fourth-order operators \(A_1u:=(au'')''\) and \(A_2u:=au''''\) in divergence and non divergence form, where \(a:[0,1]\to\mathbb{R}_+\) degenerates in an interior point of the interval. Using the semigroup technique, under suitable assumptions on \(a\), we study the generation property of these operators associated to ...
Alessandro Camasta, Genni Fragnelli
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Journal of Optimization, Differential Equations and Their Applications, 2021 A 1-parameter initial boundary value problem (IBVP) for a linear homogeneous degenerate wave equation (JODEA, 28(1), 1) in a space-time rectangle is considered.
Vladimir L. Borsch, Peter I. Kogut
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Balinski—Tucker simplex tableaus: Dimensions, degeneracy degrees, and interior points of optimal faces [PDF]
Mathematical Programming, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tijssen, Gert A., Sierksma, Gerard
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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 ...
Genni Fragnelli +2 more
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Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions [PDF]
Journal D'Analyse Mathematique, 2018 Accepted in J. Anal. Math.
Genni Fragnelli
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