Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients

نویسندگان

چکیده

We prove logarithmic conditional stability up to the final time for backward-parabolic operators whose coefficients are Log-Lipschitz continuous in t and Lipschitz x. The result complements previous achievements of Del Santo Prizzi (2009) Santo, Jäh (2015), concerning (of a type intermediate between Hölder logarithmic), arbitrarily closed, but not time.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2022

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2022.08.011