Erratum: A Parabolic Quasilinear Problem for Linear Growth Functionals.
F. Andreu, V. Caselles, J. M. Mazón (2008)
Revista Matemática Iberoamericana
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F. Andreu, V. Caselles, J. M. Mazón (2008)
Revista Matemática Iberoamericana
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J. L. Lewis, K. Nyström (2007)
Revista Matemática Iberoamericana
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M. Burak Erdogan (2006)
Revista Matemática Iberoamericana
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In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.
S. Junca (2008)
Revista Matemática Iberoamericana
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D. Arcoya, P. J. Martínez-Aparicio (2008)
Revista Matemática Iberoamericana
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Martin T. Barlow (2004)
Revista Matemática Iberoamericana
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Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele (2006)
Revista Matemática Iberoamericana
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We prove that classical Coifman-Meyer theorem holds on any polidisc T or arbitrary dimension d ≥ 1.
Yahya Ould Hamidoune, Alain Plagne (2005)
Revista Matemática Iberoamericana
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Sönke Blunck, Peer Christian Kunstmann (2003)
Revista Matemática Iberoamericana
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Zoltán Buczolich (2005)
Revista Matemática Iberoamericana
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In this paper we give a complete answer to the famous gradient problem of C. E. Weil. On an open set G ⊂ R we construct a differentiable function f: G → R for which there exists an open set Ω ⊂ R such that ∇f(p) ∈ Ω for a p ∈ G but ∇f(q) ∉ Ω for almost every q ∈ G. This shows that the Denjoy-Clarkson property does not hold in higher dimensions.