A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov operators
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 2, pp. 439-465.

We prove a Carleson type estimate, in Lipschitz type domains, for non-negative solutions to a class of second order degenerate differential operators of Kolmogorov type of the form

Ł= i,j=1 m a i,j (z) x i x j + i=1 m a i (z) x i + i,j=1 N b i,j x i x j - t ,

where z=(x,t) N+1 , 1mN. Our estimate is scale-invariant and generalizes previous results valid for second order uniformly parabolic equations to the class of operators considered.

Publié le :
Classification : 35K65, 35K70, 35H20, 35R03
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     title = {A {Carleson-type} estimate in {Lipschitz} type domains for non-negative solutions to {Kolmogorov} operators},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
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Cinti, Chiara; Nyström, Kaj; Polidoro, Sergio. A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov operators. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 2, pp. 439-465. http://www.numdam.org/item/ASNSP_2013_5_12_2_439_0/

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