A gradient estimate for solutions to parabolic equations with discontinuous coefficients

Article, Preprint English OPEN
Fan, Jishan ; Kim, Kyoungsun ; Nagayasu, Sei ; Nakamura, Gen (2011)
  • Publisher: Texas State University
  • Journal: Electronic Journal of Differential Equations (issn: 1072-6691)
  • Subject: discontinuous coefficients | Mathematics | gradient estimate | Mathematics - Analysis of PDEs | QA1-939 | Parabolic equations

Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively. The discontinuities of the coefficients are assumed to be given by manifolds of codime... View more
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