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2014•arXiv (Cornell University)Open access

Backward uniqueness for parabolic operators with non-Lipschitz\n coefficients

Daniele Del Santo, Christian Jäh, Marius Paicu

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Abstract

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

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

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Available abstract

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

Key concepts: Uniqueness, Lipschitz continuity, Mathematics, Space (punctuation), Mathematical analysis, Parabolic partial differential equation, Applied mathematics, Pure mathematics

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