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arXiv · 2401.03837

Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients

Daniele Del Santo·Martino Prizzi
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Abstract

We consider a parabolic equation whose coefficients are Log-Lipschitz continuous in $t$ and Lipschitz continuous in $x$. Combining a recent conditional stability result with a well posed variational problem, we reconstruct the initial condition of an unknown solution from a rough measurement at the final time.

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Daniele Del Santo, Martino Prizzi. 2024-01-08. Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients. https://doi.org/10.1007/s10231-024-01475-7

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