Stability in ð¿ð'-norm for inverse source parabolic problems

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Stability in ð¿ð'-norm for inverse source parabolic problems

Elena-Alexandra, Melnig

Journal of inverse and ill-posed problems, 12/2020, Volume: 28, Issue: 6

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We consider systems of parabolic equations coupled in zero and first order terms. We establish Lipschitz estimates in Image omitted -norms, Image omitted, for the source in terms of the solution in a subdomain. The main tool is a family of appropriate Carleman estimates with general weights, in Lebesgue spaces, for nonhomogeneous parabolic systems.

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