A Kirchhoff equation with infinite conservation laws
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915711119523840 |
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| author | Boiti, Chiara Manfrin, Renato |
| author_facet | Boiti, Chiara Manfrin, Renato |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03095 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Kirchhoff equation with infinite conservation laws Boiti, Chiara Manfrin, Renato Analysis of PDEs 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. |
| title | A Kirchhoff equation with infinite conservation laws |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.03095 |