Blar i Institutt for matematiske fag på tidsskrift "Annales de l'Institut Henri Poincare. Analyse non linéar"
Viser treff 1-2 av 2
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Atomic decompositions, two stars theorems, and distances for the Bourgain–Brezis–Mironescu space and other big spaces
(Peer reviewed; Journal article, 2020)Given a Banach space E with a supremum-type norm induced by a collection of operators, we prove that E is a dual space and provide an atomic decomposition of its predual. We apply this result, and some results obtained ... -
On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
(Peer reviewed; Journal article, 2019)We consider the Whitham equation ut + 2uux + Lux = 0, where L is the nonlocal Fourier multiplier operator given by the symbol m(ξ) = p tanh ξ/ξ. G. B. Whitham conjectured that for this equation there would be a highest, ...