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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… Click to show full 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.
Keywords:
problems irregular;
elliptic parabolic;
irregular obstacles;
nondivergence elliptic;
parabolic problems
Journal Title: Mathematische Zeitschrift
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!