Abstract
In this paper, the sixth-order Boussinesq equation is studied. We extend the local well-posedness theory for this equation with quadratic and cubic nonlinearities to the high dimensional case. In spite of having the "bad"fourth term u in the equation, we derive some dispersive estimates leading to the existence of local solutions which also improves the previous results in the cubic case. In addition, we show persistence of spatial analyticity of solutions for the cubic nonlinearity.
| Original language | English |
|---|---|
| Article number | 2450005 |
| Journal | Communications in Contemporary Mathematics |
| DOIs | |
| Publication status | Accepted/In press - 2024 |
Keywords
- Boussinesq equation
- dispersive estimates
- local well-posedness
- radius of analyticity of solution
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS