IOP Publishing, Inverse Problems, 12(32), p. 125004
DOI: 10.1088/0266-5611/32/12/125004
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We study an inverse initial source problem that models photoacoustic tomo- graphy measurements with array detectors, and introduce a method that can be viewed as a modi fi cation of the so called back and forth nudging method. We show that the method converges at an exponential rate under a natural visibility condition, with data given only on a part of the boundary of the domain of wave propagation. In this paper we consider the case of noiseless measurements.