Estimates for Linear Wave Equation with Scale-Invariant Damping
This study is devoted to deriving precise pointwise estimates for the linear Cauchy problem of the wave equation with scale-invariant damping. The proof relies on representing the solution via Fourier integral operators and employing techniques from microlocal analysis. As an application, we establish weighted Strichartz estimates for the linear system.
Authors
- Daoyin He (ORCID: https://orcid.org/0000-0001-6774-2322)
- Yaqing Sun (ORCID: https://orcid.org/0000-0002-9655-0685)
- Yuting Li (ORCID: https://orcid.org/0009-0008-3951-6692)
Institutions
- Nanjing Institute of Technology (CN)
- Southeast University (BD)
- Southeast University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2026-08-24
- DOI
- https://doi.org/10.3390/math14173047
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00