Academic Bibliography

 Search 200 years of publications by Ghent University researchers.
Advanced search
2 files | 1.02 MB
Add to list
  1. Search results
  2. Smoothing and Strichartz estimates fo...

Smoothing and Strichartz estimates for degenerate Schrödinger-type equations

Serena Federico (UGent) and Michael Ruzhansky (UGent)
(2024) NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 242.
Author
Organization
Project
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
Applied Mathematics, Analysis, Ghent Analysis & PDE center, Smoothing effect, Strichartz estimates, Variable coefficient Schrödinger operators, Comparison principles

Downloads

  • Download
    Federico-Ruzhansky-smoothing-time-degenerate-arxiv.pdf
    • full text (Accepted manuscript)
    • |
    • open access
    • |
    • PDF
    • |
    • 337.37 KB
  • Download
    (...).pdf
    • full text (Published version)
    • |
    • UGent only
    • |
    • PDF
    • |
    • 683.38 KB

Citation

Please use this url to cite or link to this publication:

MLA
Federico, Serena, and Michael Ruzhansky. “Smoothing and Strichartz Estimates for Degenerate Schrödinger-Type Equations.” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 242, 2024, doi:10.1016/j.na.2024.113500.
APA
Federico, S., & Ruzhansky, M. (2024). Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 242. https://doi.org/10.1016/j.na.2024.113500
Chicago author-date
Federico, Serena, and Michael Ruzhansky. 2024. “Smoothing and Strichartz Estimates for Degenerate Schrödinger-Type Equations.” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 242. https://doi.org/10.1016/j.na.2024.113500.
Chicago author-date (all authors)
Federico, Serena, and Michael Ruzhansky. 2024. “Smoothing and Strichartz Estimates for Degenerate Schrödinger-Type Equations.” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 242. doi:10.1016/j.na.2024.113500.
Vancouver
1.
Federico S, Ruzhansky M. Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 2024;242.
IEEE
[1]
S. Federico and M. Ruzhansky, “Smoothing and Strichartz estimates for degenerate Schrödinger-type equations,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 242, 2024.
@article{01HP4NA6G7PZ7WN4QDAYR3XMJH,
  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.}},
  articleno    = {{113500}},
  author       = {{Federico, Serena and Ruzhansky, Michael}},
  issn         = {{0362-546X}},
  journal      = {{NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}},
  keywords     = {{Applied Mathematics,Analysis,Ghent Analysis & PDE center,Smoothing effect,Strichartz estimates,Variable coefficient Schrödinger operators,Comparison principles}},
  language     = {{eng}},
  pages        = {{19}},
  title        = {{Smoothing and Strichartz estimates for degenerate Schrödinger-type equations}},
  url          = {{http://doi.org/10.1016/j.na.2024.113500}},
  volume       = {{242}},
  year         = {{2024}},
}
Altmetric
View in Altmetric
Web of Science
Times cited: