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Spinning neutron stars asymmetric with respect to their rotation axis arepotential sources of continuous gravitational waves for ground-basedinterferometric detectors. In the case of known pulsars a fully coherentsearch, based on matched filtering, which uses the position and rotationalparameters obtained from electromagnetic observations, can be carried out.Matched filtering maximizes the signal-to-noise (SNR) ratio, but a largesensitivity loss is expected in case of even a very small mismatch between theassumed and the true signal parameters. For this reason, {\it narrow-band}analyses methods have been developed, allowing a fully coherent search forgravitational waves from known pulsars over a fraction of a hertz and severalspin-down values. In this paper we describe a narrow-band search of elevenpulsars using data from Advanced LIGO's first observing run. Although we havefound several initial outliers, further studies show no significant evidencefor the presence of a gravitational wave signal. Finally, we have placed upperlimits on the signal strain amplitude lower than the spin-down limit for 5 ofthe 11 targets over the bands searched: in the case of J1813-1749 the spin-downlimit has been beaten for the first time. For an additional 3 targets, themedian upper limit across the search bands is below the spin-down limit. Thisis the most sensitive narrow-band search for continuous gravitational wavescarried out so far.

First narrow-band search for continuous gravitational waves from known pulsars in advanced detector data