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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Yan Li

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Preprint Oct 2026

Regularity for solutions to inhomogeneous degenerate parabolic $p$-Laplace equations

For weak solutions to quasilinear degenerate parabolic equations of $p$-Laplace type, a central obstacle in applying the method of intrinsic scaling to prove their H\"{o}lder regularity is the derivation of forward-in-time propagation estimate for the spatial measure of level sets. In this paper, we revisit and overcom...

Xia Hao, Yan Li, Zhi-Wen Zhao · 0 citations
Preprint Sep 2026

Local behavior of solutions to inhomogeneous singular parabolic $p$-Laplace equations

It is known that a major difficulty in proving H\"{o}lder regularity for solutions to quasilinear singular parabolic equations of $p$-Laplace type via the method of intrinsic scaling is to establish the decay estimate of the space-time measure of level sets. In this paper, we consider an inhomogeneous singular paraboli...

Xia Hao, Yan Li, Zhi-Wen Zhao · 0 citations
Preprint Sep 2026

Local behavior for solutions to inhomogeneous singular parabolic $p$-Laplace equations

It is known that a major difficulty in proving H\"{o}lder regularity for solutions to quasilinear singular parabolic equations of $p$-Laplace type via the method of intrinsic scaling is to establish the decay estimate of the space-time measure of level sets. In this paper, we consider an inhomogeneous singular paraboli...

Xia Hao, Yan Li, Zhi-Wen Zhao · 0 citations

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