We consider the linear propagator for Schrödinger equations with variable coefficients in R^d. We show that it is bounded on some spaces arising in Time- frequency Analysis, known as modulation spaces. This generalizes recent results where the case of constant coefficients was considered.
Schrödinger equations in modulation spaces / E., Cordero; Nicola, Fabio; L., Rodino - In: Studies in Phase Space Analysis with Applications to PDEs / Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo. - STAMPA. - [s.l] : Birkhäuser-Springer, 2013. - ISBN 9781489999405. - pp. 81-99 [10.1007/978-1-4614-6348-1]
Schrödinger equations in modulation spaces
NICOLA, FABIO;
2013
Abstract
We consider the linear propagator for Schrödinger equations with variable coefficients in R^d. We show that it is bounded on some spaces arising in Time- frequency Analysis, known as modulation spaces. This generalizes recent results where the case of constant coefficients was considered.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2525085
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