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2026-01-06 15:28 UTC · math.AP · math.AP

A Kirchhoff equation with infinite conservation laws

Chiara Boiti, Renato Manfrin

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.
arXiv abstractPDF

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