BACKWARD UNIQUENESS FOR PARABOLIC OPERATORS WITH NON-LIPSCHITZ COEFFICIENTS

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In this paper we study the backward uniqueness for parabolic equations with non-Lipschitz coefficients in time and space. The result presented here improves an old uniqueness theorem due to Lions and Malgrange [Math. Scand. ${\bf 8}$ (1960), 277--286] and some more recent results of Del Santo and Prizzi [J. Math. Pures Appl. ${\bf 84}$ (2005), 471--491; Ann. Mat. Pura Appl., to appear].

Journal

  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 52 (3), 793-815, 2015-07

    Osaka University and Osaka City University, Departments of Mathematics

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