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Optimal regularity and fine asymptotics for very fast diffusion equations in bounded domains

Jin, Tianling et al.
arXiv (All) · Papers
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35b6535k65analysis-of-pdes
We prove the optimal global regularity of admissible solutions to a transformed very fast diffusion equation in the range $-1<p<0$, posed on smooth bounded domains with zero Dirichlet boundary data and initial data comparable to the distance function. More precisely, we establish existence and uniqu
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