LIPSCHITZ STABILITY IN INVERSE SOURCE AND INVERSE COEFFICIENT PROBLEMS FOR A FIRST- AND HALF-ORDER TIME-FRACTIONAL DIFFUSION EQUATION

LIPSCHITZ STABILITY IN INVERSE SOURCE AND INVERSE COEFFICIENT PROBLEMS FOR A FIRST- AND HALF-ORDER TIME-FRACTIONAL DIFFUSION EQUATION

We consider inverse problems for the first- and half-order time-fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient problems by means of the Carleman estimates.

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Veröffentlicht in:SIAM journal on mathematical analysis 2020-01, Vol.52 (1), p.967-1005
Hauptverfasser: Kawamoto, Atsushi, Machida, Manabu
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung:We consider inverse problems for the first- and half-order time-fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient problems by means of the Carleman estimates.
ISSN:0036-1410
1095-7154
DOI:10.1137/18M1235776