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.
Dimitri Mugnai, Genni Fragnelli
exaly +8 more sources
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.
Dimitri Mugnai, Genni Fragnelli
exaly +10 more sources
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.
Rob De Staelen +2 more
exaly +4 more sources
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 +3 more
doaj +2 more sources
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
Alessandro Camasta, Genni Fragnelli
doaj +9 more sources
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
doaj +3 more sources
Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP
Journal of Optimization, Differential Equations and Their Applications, 2022 The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been presented ...
Vladimir L. Borsch, Peter I. Kogut
doaj +1 more source
Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE).
Alahyane Mohamed +2 more
doaj +1 more source
How does dark matter affect compact star properties and high density constraints of strongly interacting matter [PDF]
EPJ Web of Conferences, 2022 We study the impact of asymmetric bosonic dark matter on neutron star properties, including possible changes of tidal deformability, maximum mass, radius, and matter distribution inside the star.
Sagun Violetta +4 more
doaj +1 more source
Warm giant exoplanet characterisation: current state, challenges and outlook
Frontiers in Astronomy and Space Sciences, 2023 The characterisation of giant exoplanets is crucial to constrain giant planet formation and evolution theory and for putting the solar-system’s giant planets in perspective. Typically, mass-radius (M-R) measurements of moderately irradiated warm Jupiters
Simon Müller, Ravit Helled
doaj +1 more source