Decay estimates for a class of wave equations

By Zihua Guo, Lizhong Peng, Baoxiang Wang. 2008

107 citations recorded by the source corpus.

Abstract In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by e i t ϕ ( − Δ ) , where ϕ : R + → R is smooth away from the origin. Especially, the decay estimates for the solutions of the Klein–Gordon equation and the beam equation are simplified and slightly improved.

Subfields: Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/edfbbf167adc98124de83e0c1435c5fc42985a6d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Qing Guo
2. Shihui Zhu
3. Benoit Pausader
4. Yan Guo

In Mathematical Physics

1. Qing Guo
2. Shihui Zhu
3. Benoit Pausader
4. Yan Guo
5. Clément Mouhot
6. Yanjin Wang
7. Robert M. Strain
8. Renjun Duan

Citations in the corpus

• Global Smooth Ion Dynamics in the Euler-Poisson System (2010, methodology): “Quasi-neutral limit in the Euler-Poisson system was studied in Cordier and Grenier [3] and Peng and Wang [21].”
• Sharp threshold of blow-up and scattering for the fractional Hartree equation (2017, background): “1, from the Sobolev embedding and the L spacetime decay estimates (or the dispersive estimates; see [19]) of the linear flow, we find that V (U(−tn)ψ) → 0.”