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arXiv · 2601.03095

A Kirchhoff equation with infinite conservation laws

Chiara Boiti·Renato Manfrin
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Abstract

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

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Chiara Boiti, Renato Manfrin. 2026-01-06. A Kirchhoff equation with infinite conservation laws. https://doi.org/10.1016/j.na.2026.114219

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