Local partial regularity theorems for suitable weak solutions of a class of degenerate systems |
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| Authors: | Xiangsheng Xu |
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| Affiliation: | (1) Department of Mathematics and Statistics, Mississippi State University, 39762 Mississippi State, MS, USA |
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| Abstract: | A partial regularity theorem is established for a particular class of weak solutions to the system u/t– div(K(u) u)= (u)¦ ¦2, div((u))=0 on a bounded domain inRN. Under our assumptions, (u) may exhibit exponential decay, and thus the system may be degenerate. Our proof is based upon a blow-up argument.This work was supported in part by NSF Grant DMS9424448. |
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| Keywords: | Blow-up Scaled energy Partial regularity |
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