In this paper we present recent results about the smoothing properties of some Schrödinger operators with time degeneracies. More specifically, we will show that time-weighted smoothing and Strichartz estimates hold true for the operators under consideration. Finally, by means of the aforementioned estimates, we will derive local well-posedness results for the suitable corresponding nonlinear initial value problem
Smoothing Effect and Strichartz Estimates for Some Time-Degenerate Schrödinger Equations
Federico, Serena
2022
Abstract
In this paper we present recent results about the smoothing properties of some Schrödinger operators with time degeneracies. More specifically, we will show that time-weighted smoothing and Strichartz estimates hold true for the operators under consideration. Finally, by means of the aforementioned estimates, we will derive local well-posedness results for the suitable corresponding nonlinear initial value problemFile in questo prodotto:
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