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A Kirchhoff equation with infinite conservation laws

Published 6 Jan 2026 in math.AP | (2601.03095v1)

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.

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