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• W3112256602 abstract "We obtain heat-kernel estimates for fourth-order non-uniformly elliptic operators in two dimensions. Contrary to existing results, the operators considered have symbols that are not strongly convex. This entails certain difficulties as it is known that, as opposed to the strongly convex case, there is no absolute exponential constant. Our estimates involve sharp constants and Finsler-type distances that are inducedby the operator symbol. The main result is based on two general hypotheses, a weighted Sobolev inequality and an interpolation inequality, which are related to the singularity or degeneracy of the coefficients." @default.
• W3112256602 created "2020-12-21" @default.
• W3112256602 creator A5000852762 @default.
• W3112256602 creator A5072674254 @default.
• W3112256602 date "2022-11-18" @default.
• W3112256602 modified "2023-10-01" @default.
• W3112256602 title "Heat kernel estimates for fourth-order non-uniformly elliptic operators with non-strongly convex symbols" @default.
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• W3112256602 doi "https://doi.org/10.58997/ejde.2022.76" @default.
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