A Kirchhoff equation with infinite conservation laws
Abstract
We show here that the quasilinear Kirchhoff-Pokhozhaev equation $$u_{tt}-\big(a\int_{\mathbb{R}^n} |\nabla u |^2 dx + b \big)^{-2} Δu = 0,$$ with $a\neq0$, admits conservation laws of all orders.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Nonlinear Waves and Solitons
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 January 2026
- Document type
- Preprint