Degenerate hyperbolic equations are approximated by uniformly hyperbolic ones to prove controllability in higher dimensions for the first time.
Evans,Partial Differential Equations, AMS, New York
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Shape design approximation proposed for degenerate PDEs, used to obtain Carleman estimates for null controllability of degenerate parabolic equations by avoiding second derivatives.
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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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A Shape Design Approximation for Degenerate Partial Differential Equations and Its Application
Shape design approximation proposed for degenerate PDEs, used to obtain Carleman estimates for null controllability of degenerate parabolic equations by avoiding second derivatives.