Inverse problems 2 Inverse source problem Abel integral equation 1 Abel integral equations 1 Acoustic pressures 1 Carleman estimate 1 Cauchy problems 1 Computerized tomography 1 Conditional stability 1 Divergence free 1 Finite time intervals 1 Image reconstruction 1 Images reconstruction 1 Integral equations 1 Inversion formulae 1 Lateral cauchy problem 1 Linearized navier-stokes equations 1 Mixed data 1 Navier Stokes equations 1 Navier-Stokes equation 1 Navier-Stokes equations 1 Photoacoustic computed tomography 1 Photoacoustic effect 1 Photoacoustic tomography 1 Stability estimates 1 Viscous flow 1 Wave equations 1 Weight functions 1 Weighted linear combinations 1 image reconstruction 1