Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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NOTE ON LOCAL BOUNDEDNESS FOR WEAK SOLUTIONS OF NEUMANN PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS

  • KIM, SEICK (DEPARTMENT OF MATHEMATICS, YONSEI UNIVERSITY)
  • Received : 2015.04.20
  • Accepted : 2015.05.16
  • Published : 2015.06.25
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Abstract

The goal of this note is to provide a detailed proof for local boundedness estimate near the boundary for weak solutions for second order elliptic equations with bounded measurable coefficients subject to Neumann boundary condition.

Keywords

References

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Cited by

  1. NOTE ON LOCAL ESTIMATES FOR WEAK SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER PARABOLIC EQUATION vol.53, pp.4, 2016, https://doi.org/10.4134/BKMS.b150567