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On the Poisson Kernel for Nondivergence Elliptic Equations with Continuous Coefficients

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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

Let us consider the class of elliptic equations

$$Lu(x)=\sum_{i,j=1}^{n}a_{ij}(x)u_{x_ix_j} + \sum_{i=1}^{n}b_i(x)u_{x_i} + c(x)u$$
((1))

defined on a bounded C 2 domain D in R n.

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Authors
  1. Tomeu Barcelo
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC, 29303, USA

    B. Dahlberg

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    R. Fefferman , Carlos Kenig  & J. Pipher ,  & 

  3. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Eugene Fabes

  4. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    David Jerison

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© 1992 Springer-Verlag New York, Inc.

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Barcelo, T. (1992). On the Poisson Kernel for Nondivergence Elliptic Equations with Continuous Coefficients. 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_6

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  • DOI: https://doi.org/10.1007/978-1-4612-2898-1_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7712-5

  • Online ISBN: 978-1-4612-2898-1

  • eBook Packages: Springer Book Archive

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