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

Federico, S. (2022). Smoothing Effect and Strichartz Estimates for Some Time-Degenerate Schrödinger Equations. Birkhäuser, Cham [10.1007/978-3-031-24311-0_2].

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 problem
2022
Harmonic Analysis and Partial Differential Equations
19
44
Federico, S. (2022). Smoothing Effect and Strichartz Estimates for Some Time-Degenerate Schrödinger Equations. Birkhäuser, Cham [10.1007/978-3-031-24311-0_2].
Federico, Serena
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/920132
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