| dc.contributor.author | Ruzhansky, M | en_US |
| dc.contributor.author | Federico, S | en_US |
| dc.date.accessioned | 2024-02-27T08:47:46Z | |
| dc.date.available | 2024-02-08 | en_US |
| dc.date.issued | 07-02-2024 | |
| dc.identifier.citation | Serena Federico, Michael Ruzhansky,
Smoothing and Strichartz estimates for degenerate Schrödinger-type equations,
Nonlinear Analysis,
Volume 242,
2024,
113500,
ISSN 0362-546X,
https://doi.org/10.1016/j.na.2024.113500.
(https://www.sciencedirect.com/science/article/pii/S0362546X24000191)
Abstract: 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.
Keywords: Smoothing effect; Strichartz estimates; Variable coefficient Schrödinger operators; Comparison principles | |
| dc.identifier.issn | 0362-546X | en_US |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/94919 | |
| dc.description.abstract | 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. | |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Nonlinear Analysis: Theory, Methods and Applications | en_US |
| dc.rights | © 2024. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.title | SMOOTHING AND STRICHARTZ ESTIMATES FOR DEGENERATE SCHR ODINGER-TYPE EQUATIONS | en_US |
| dc.type | Article | |
| dc.identifier.doi | doi.org/10.1016/j.na.2024.113500 | |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| pubs.volume | 242 | en_US |
| dcterms.dateAccepted | 2024-02-08 | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
| qmul.funder | Regularity in affiliated algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council | en_US |
| qmul.funder | Regularity in affiliated algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council | en_US |
