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arXiv · 2608.25047

Existence and equicontinuity of solutions to the Kirchhoff--Pohozaev wave equation

Luccas Campos·Rowan Killip·Monica Visan
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Abstract

It was recently discovered by Boiti--Manfrin that a variant of the Kirchhoff wave equation introduced by Pohozaev admits infinitely many conserved quantities. In this paper, we obtain explicit formulae for such conserved quantities, as well as introduce a generating function for them that is coercive. These tools are then employed to establish a priori bounds, the propagation of equicontinuity, global well-posedness in $\mathcal H^s$ for $s\geq \frac32$, and the existence of global $C_t \mathcal H^1$ solutions.

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Luccas Campos, Rowan Killip, Monica Visan. 2026-08-25. Existence and equicontinuity of solutions to the Kirchhoff--Pohozaev wave equation. https://arxiv.org/abs/2608.25047

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