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A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov equations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2013 (English)In: Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V, ISSN 0391-173X, Vol. 12, no 2, 439-465 p.Article in journal (Refereed) Published
Abstract [en]

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 L = Sigma(m)(i,j=1)a(i,j)(z)partial derivative x(i)x(j) + Sigma(m)(i=1)a(i)(z)partial derivative(xi) + Sigma(N)(i,j=1) b(i,j)x(i)partial derivative(xj) - partial derivative(t), where z = (x, t) is an element of RN+1, 1 <= m <= N. Our estimate is scale-invariant and generalizes previous results valid for second order uniformly parabolic equations to the class of operators considered.

Place, publisher, year, edition, pages
2013. Vol. 12, no 2, 439-465 p.
National Category
URN: urn:nbn:se:uu:diva-163514ISI: 000322857800004OAI: diva2:464204
Available from: 2011-12-13 Created: 2011-12-12 Last updated: 2014-01-17Bibliographically approved

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