Determination of initial data in time-fractional wave equation
Determination of initial data in time-fractional wave equation
In this paper, we consider a time-fractional wave equation for positive operators, including the classical Laplacian with the Dirichlet boundary condition.Determinations of initial velocity and perturbation are investigated.It is also shown that these inverse problems of determining the initial data are ill-posed.Moreover, under some conditions of well-posedness properties of the …