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Description: |
That weak solutions of degenerate parabolic pdes modelled on the inhomogeneous p-Laplace equation are Hölder continuous is known for almost 30 years. What was hitherto missing from the literature was a precise and sharp knowledge of the Hölder exponent in terms of p, the integrability of the source and the space dimension n. We determine the precise and optimal exponent using a method based on the notion of geometric tangential equations and the intrinsic scaling of the p-parabolic operator. The talk will be self-contained and is based on a joint work with Eduardo Teixeira (UFC, Brazil).
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Date: |
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Start Time: |
14:30 |
Speaker: |
José Miguel Urbano (CMUC, Univ. Coimbra)
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Institution: |
CMUC, Univ. Coimbra
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Place: |
Sala 5.4
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Research Groups: |
-Analysis
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See more:
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