English

A Kirchhoff equation with infinite conservation laws

Analysis of PDEs 2026-01-07 v1

Abstract

We show here that the quasilinear Kirchhoff-Pokhozhaev equation utt(aRnu2dx+b)2Δu=0,u_{tt}-\big(a\int_{\mathbb{R}^n} |\nabla u |^2 dx + b \big)^{-2} \Delta u = 0, with a0a\neq0, admits conservation laws of all orders.

Cite

@article{arxiv.2601.03095,
  title  = {A Kirchhoff equation with infinite conservation laws},
  author = {Chiara Boiti and Renato Manfrin},
  journal= {arXiv preprint arXiv:2601.03095},
  year   = {2026}
}
R2 v1 2026-07-01T08:52:46.533Z