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Currently displaying 1 – 2 of 2

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Explicit evaluations of the Rogers-Ramanujan continued fraction.

B.C. Berndt; H.H. Chan; L.-C. Zhang — 1996

Journal für die reine und angewandte Mathematik

Observability inequalities and measurable sets

Jone Apraiz; Luis Escauriaza; Gengsheng Wang; C. Zhang — 2014

Journal of the European Mathematical Society

This paper presents two observability inequalities for the heat equation over $Ω \times (0, T)$ . In the first one, the observation is from a subset of positive measure in $Ω \times (0, T)$ , while in the second, the observation is from a subset of positive surface measure on $\partial Ω \times (0, T)$ . It also proves the Lebeau-Robbiano spectral inequality when $Ω$ is a bounded Lipschitz and locally star-shaped domain. Some applications for the above-mentioned observability inequalities are provided.

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