Global Schauder Regularity and Convergence for Uniformly Degenerate Parabolic Equations

Jiongduo Xie; Qing Han

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Global Schauder Regularity and Convergence for Uniformly Degenerate Parabolic Equations

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arxiv 2501.07143 v1 pith:UVHW535P submitted 2025-01-13 math.AP

Qing Han , Jiongduo Xie This is my paper · ORCID

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keywords degenerateequationsuniformlyconvergenceglobalparabolicregularitysolutions

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In this paper, we study the global H\"older regularity of solutions to uniformly degenerate parabolic equations. We also study the convergence of solutions as time goes to infinity under extra assumptions on the characteristic exponents of the limit uniformly degenerate elliptic equations.

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