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Some Remarks on Widder’s Theorem and Uniqueness of Isolated Singularities for Parabolic Equations

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Partial Differential Equations with Minimal Smoothness and Applications

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 42))

Abstract

An elementary proof is given of Widder’s Theorem and of the uniqueness of isolated singularities for parabolic differential equations Lu = u t. It applies equally well to operators L that are Holder continuous, in divergence form, or of Hörmander type.

Materially supported by NSERC Operating Grant #A3108

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© 1992 Springer-Verlag New York, Inc.

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Ancona, A., Taylor, J.C. (1992). Some Remarks on Widder’s Theorem and Uniqueness of Isolated Singularities for Parabolic Equations. In: Dahlberg, B., Fefferman, R., Kenig, C., Fabes, E., Jerison, D., Pipher, J. (eds) Partial Differential Equations with Minimal Smoothness and Applications. The IMA Volumes in Mathematics and its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2898-1_2

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  • DOI: https://doi.org/10.1007/978-1-4612-2898-1_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7712-5

  • Online ISBN: 978-1-4612-2898-1

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