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NCTS Seminar on PDE and Analysis
 
15:30 - 16:30, May 2, 2016 (Monday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Half-order fractional inverse transport problems by Carleman estimates
Manabu Machida (Hamamatsu University School of Medicine)

Abstract:

We consider the radiative transport equation in which the time derivative is replaced by the Caputo derivative. Such fractional-order derivatives are related to anomalous transport and anomalous diffusion. By establishing Carleman estimates, we prove the global Lipschitz stability in determining the coefficient for the total attenuation in the one-dimensional time-fractional radiative transport equation of half-order. This is a joint work with Atsushi Kawamoto (Univ. of Tokyo).


 

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