An inverse problem for a fractional diffusion equation with fractional power type nonlinearities

Abstract

We study the well-posedness of a semilinear fractional diffusion equation and formulate an associated inverse problem. We determine fractional power type nonlinearities from the exterior partial measurements of the Dirichlet-to-Neumann map. Our arguments are based on a first order linearization as well as the parabolic Runge approximation property.

References in corpus (2)

• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation

Cited by in corpus (3)

• An inverse problem for semilinear equations involving the fractional Laplacian
• An inverse problem for the fractional porous medium equation
• On inverse problems arising in fractional elasticity