Work

Estimates for Linear Wave Equation with Scale-Invariant Damping

Year: 2026

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math14173047

Authors: Daoyin He, Yuting Li, Yaqing Sun

Institutions: Southeast University, Nanjing Institute of Technology

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Jiangsu Provincial Department of Education, Nanjing Institute of Technology