Vancostenoble, J.; Zuazua, E. Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. (English) Zbl 1200.35008 SIAM J. Math. Anal. 41, No. 4, 1508-1532 (2009). Wave equation and Schrödinger equation perturbed by a singular-square potential are considered. Using the method of multipliers, the authors prove exact boundary controllability in the range of subcritical coefficients of the singular potential and under suitable geometric conditions. The supercritical case is also analyzed. Reviewer: Gheorghe Aniculăesei (Iaşi) Cited in 2 ReviewsCited in 27 Documents MSC: 35A23 Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals 93B07 Observability 35Q41 Time-dependent Schrödinger equations and Dirac equations 35L05 Wave equation Keywords:Hardy inequalities; observability; control; wave; singular potential; method of multipliers; exact boundary controllability PDFBibTeX XMLCite \textit{J. Vancostenoble} and \textit{E. Zuazua}, SIAM J. Math. Anal. 41, No. 4, 1508--1532 (2009; Zbl 1200.35008) Full Text: DOI Link