SMOOTHING AND STRICHARTZ ESTIMATES FOR DEGENERATE SCHR ODINGER-TYPE EQUATIONS
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Accepted version
Embargoed until: 2025-02-06
Embargoed until: 2025-02-06
Volume
242
Publisher
DOI
doi.org/10.1016/j.na.2024.113500
Journal
Nonlinear Analysis: Theory, Methods and Applications
ISSN
0362-546X
Metadata
Show full item recordAbstract
In this paper we focus on the validity of some fundamental estimates for time-degenerate Schrödinger-type operators. On the one hand we derive global homogeneous smoothing estimates for operators of any order by means of suitable comparison principles (that we shall obtain here). On the other hand, we prove weighted Strichartz-type estimates for time-degenerate Schrödinger operators and apply them to the local well-posedness of the semilinear Cauchy problem. Most of our results apply to nondegenerate operators as well, recovering, in these cases, the known standard results.
Authors
Ruzhansky, M; Federico, SCollections
- Mathematics [1463]