Hölder Regularity for Singular Parabolic Obstacle Problems of Porous Medium Type
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Publication:5108322
DOI10.1093/IMRN/RNY073zbMath1437.35134OpenAlexW2800632282MaRDI QIDQ5108322
Publication date: 4 May 2020
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rny073
Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
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Higher integrability for obstacle problem related to the singular porous medium equation ⋮ An optimal Liouville theorem for the porous medium equation ⋮ The obstacle problem for stochastic porous media equations ⋮ Continuity up to the boundary for obstacle problems to porous medium type equations ⋮ On the Hölder regularity for obstacle problems to porous medium type equations ⋮ The self-improving property of higher integrability in the obstacle problem for the porous medium equation
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