An Optimal Spectral Inequality for Degenerate Operators
Copyright policy )An Optimal Spectral Inequality for Degenerate Operators
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application to null controllability on a measurable set in time for the degenerated heat equation is described.
PDEs in connection with control and optimization, General theory of ordinary differential operators, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Carleman estimate, Degenerate parabolic equations, degenerate equations, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], control, moment method, Analysis of PDEs (math.AP)
PDEs in connection with control and optimization, General theory of ordinary differential operators, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Carleman estimate, Degenerate parabolic equations, degenerate equations, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], control, moment method, Analysis of PDEs (math.AP)
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