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arXiv · 2605.06174

Heat dispersion laws in smooth compact manifolds

Xiaoshang Jin·Jie Xiao
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Abstract

Given a Lipschitz conductor $K$ in the smooth compact Riemannian $2\le n$-manifold $(M,g)$, such a half generic heat dispersion law $$ {\rm H^d}_{p,\varPhi,\varPsi}(K,M)=2^{-1} {\rm H^d}_{\Delta_p,\varPhi,\varPsi}(K,M) $$ is not only newly-established via Theorem 1.1 but also deeply-explored through not only Proposition 3.1 (a comparison law for the generic heat dispersion) but also Proposition 3.2 (a recycling law for the quasilinear Laplace-Robin eigenvalue).

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Xiaoshang Jin, Jie Xiao. 2026-05-07. Heat dispersion laws in smooth compact manifolds. https://doi.org/10.1112/blms.70374

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