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arxiv: 1311.1230 · v1 · pith:ST7WN2J2new · submitted 2013-11-05 · 🧮 math.AP

Lorentz estimates for obstacle parabolic problems

classification 🧮 math.AP
keywords obstaclelorentzparabolicproblemsdataderivativesenjoysestimates
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We prove that the spatial gradient of (variational) solutions to parabolic obstacle problems of p-Laplacian type enjoys the same regularity of the data and of the derivatives of the obstacle in the scale of Lorentz spaces.

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