5 research outputs found
On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order
Get PDFPseudo-differential operators with meromorphic symbols and systems of complex differential equations
No full textInverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits
No full textThis paper is concerned with the inverse problem on determining the orbit of a moving source in fractional diffusion(-wave) equations either in a connected bounded domain of Rd or in the whole space Rd . Based on a newly established fractional Duhamelâs principle, we derive a Lipschitz stability estimate in the case of a localized moving source by the observation data at d interior points. The uniqueness for the general non-localized moving source is verified with additional data of more interior observations
