We provide a general method to decompose any bounded sequence in Ḣˢ into linear dispersive profiles generated by an abstract propagator, with a rest which is small in the associated Strichartz norms. The argument is quite different from the one proposed by Bahouri and Gérard and by Keraani in the cases of the wave and Schrödinger equations, and is adaptable to a large class of propagators, including those which are matrix-valued.
The lack of compactness in the Sobolev–Strichartz inequalities
VISCIGLIA, NICOLA
2013-01-01
Abstract
We provide a general method to decompose any bounded sequence in Ḣˢ into linear dispersive profiles generated by an abstract propagator, with a rest which is small in the associated Strichartz norms. The argument is quite different from the one proposed by Bahouri and Gérard and by Keraani in the cases of the wave and Schrödinger equations, and is adaptable to a large class of propagators, including those which are matrix-valued.File in questo prodotto:
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