Degenerate hyperbolic equations are approximated by uniformly hyperbolic ones to prove controllability in higher dimensions for the first time.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Null controllability is established for a multi-dimensional degenerate parabolic PDE with an interior degenerate point outside the control domain by approximating the system with uniformly elliptic equations and using Carleman estimates to obtain observability.
Extends separable variable method to obtain Lebeau-Robbiano spectral inequality and null controllability for a distinct degenerate parabolic equation with measurable-set internal control.
Courant's nodal domain theorem and the residual nature of simple eigenvalues under perturbations both hold for the degenerate elliptic operator A = -div(w ∇·) with w > 0 inside Ω and w = 0 on part of ∂Ω.
citing papers explorer
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Approximation of Degenerate Hyperbolic Equations with Interior Degeneracy and Applications to Controllability
Degenerate hyperbolic equations are approximated by uniformly hyperbolic ones to prove controllability in higher dimensions for the first time.
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Null Controllability for a Multi-Dimensional Degenerate Parabolic Equation with Degenerated Interior Point
Null controllability is established for a multi-dimensional degenerate parabolic PDE with an interior degenerate point outside the control domain by approximating the system with uniformly elliptic equations and using Carleman estimates to obtain observability.
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Null Controllability for Degenerate Parabolic Equations with Internal Control Applied on a Measurable Subset
Extends separable variable method to obtain Lebeau-Robbiano spectral inequality and null controllability for a distinct degenerate parabolic equation with measurable-set internal control.
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Some Key Properties of Eigenfunctions Linked to Degenerate Elliptic Differential Operators
Courant's nodal domain theorem and the residual nature of simple eigenvalues under perturbations both hold for the degenerate elliptic operator A = -div(w ∇·) with w > 0 inside Ω and w = 0 on part of ∂Ω.