Advances in Nonlinear Analysis (Jun 2018)

The higher integrability of weak solutions of porous medium systems

  • Bögelein Verena,
  • Duzaar Frank,
  • Korte Riikka,
  • Scheven Christoph

DOI
https://doi.org/10.1515/anona-2017-0270
Journal volume & issue
Vol. 8, no. 1
pp. 1004 – 1034

Abstract

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In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.

Keywords