Nondivergence elliptic and parabolic problems with irregular obstacles

Sun Sig Byun, Ki Ahm Lee, Jehan Oh, Jinwan Park

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irregular obstacles. We also obtain Morrey regularity results for the Hessian of the solutions and Hölder continuity of the gradient of the solutions.

Original languageEnglish
Pages (from-to)973-990
Number of pages18
JournalMathematische Zeitschrift
Volume290
Issue number3-4
DOIs
StatePublished - 1 Dec 2018

Keywords

  • Calderón and Zygmund estimate
  • Elliptic equation
  • Muckenhoupt weight
  • Obstacle problem
  • Parabolic equation

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