A quantitative Hölder exponent for the non-homogeneous p-parabolic equation
 
 
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).
Date:  2013-10-04
Start Time:   14:30
Speaker:  José Miguel Urbano (CMUC, Univ. Coimbra)
Institution:  CMUC, Univ. Coimbra
Place:  Sala 5.4
Research Groups: -Analysis
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