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 language | English |
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Pages (from-to) | 973-990 |
Number of pages | 18 |
Journal | Mathematische Zeitschrift |
Volume | 290 |
Issue number | 3-4 |
DOIs | |
State | Published - 1 Dec 2018 |
Keywords
- Calderón and Zygmund estimate
- Elliptic equation
- Muckenhoupt weight
- Obstacle problem
- Parabolic equation