Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation

Atsushi Kawamoto; Manabu Machida

arxiv: 1811.06223 · v2 · pith:WKCBIWZTnew · submitted 2018-11-15 · 🧮 math.AP

Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation

Atsushi Kawamoto , Manabu Machida This is my paper

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keywords inverseproblemscoefficientequationestimateslipschitzsourcestability

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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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Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation

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