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Unique Continuation with Weak Type Lower Order Terms

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Abstract

This paper proves a unique continuation property for the elliptic differential inequality

|Δu| ≤ A|u| + B|∇u|,

where the coefficients A and B are functions in the Lorentz space with small weak type norm.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, 45435

    Guozhen Lu

  2. Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125

    Thomas Wolff

Authors
  1. Guozhen Lu
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  2. Thomas Wolff
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Lu, G., Wolff, T. Unique Continuation with Weak Type Lower Order Terms. Potential Analysis 7, 603–614 (1997). https://doi.org/10.1023/A:1017989619339

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  • DOI: https://doi.org/10.1023/A:1017989619339

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