Geodesic
Boundary estimates for certain degenerate and singular parabolic equations
Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 381-424

Voir la notice de l'article provenant de la source EMS Press

We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic p-Laplacian equation. Assuming that such solutions continuously vanish on some distinguished part of the lateral part ST​ of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences under additional assumptions on the equation or the domain. We then prove analogous estimates for non-negative solutions to a class of degenerate/singular parabolic equations of porous medium type.
DOI : 10.4171/jems/593
Classification : 35-XX
Keywords: Degenerate and singular parabolic equations, Harnack estimates, boundary Harnack inequality, Carleson estimate 
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     author = {Benny Avelin and Ugo Gianazza and Sandro Salsa},
     title = {Boundary estimates for certain degenerate and singular parabolic equations},
     journal = {Journal of the European Mathematical Society},
     pages = {381--424},
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     year = {2016},
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Benny Avelin; Ugo Gianazza; Sandro Salsa. Boundary estimates for certain degenerate and singular parabolic equations. Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 381-424. doi: 10.4171/jems/593

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