On an inverse problem of nonlinear imaging with fractional damping

This paper considers the attenuated Westervelt equation in pressure formulation. The attenuation is by various models proposed literature and characterised inclusion of non-local operators that give power law damping as opposed to exponential classical models. goal inverse problem recovering a spatially dependent coefficient equation, parameter nonlinearity ? ( x stretchy="false">) \kappa (x) , what becomes nonlinear hyperbolic with terms. overposed measured data time trace taken on subset domain or its boundary. We shall show injectivity linearised map from alttext="kappa"> encoding="application/x-tex">\kappa this basis develop analyse Newton-type schemes for effective recovery.