Ouyang Lei

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math.FA2026

Krein-Feller operators on Riemannian manifolds: compactness of embedding and Hodge's theorem

Sze-Man Ngai, Lei Ouyang

For a bounded open set Omega in a complete oriented Riemannian n-manifold and a positive finite Borel measure mu with support contained in Omega, we define an associated Krein-Fell…

math.FA2024

Differential equations defined by Kre\uÄ±n-Feller operators on Riemannian manifolds

Sze-Man Ngai, Lei Ouyang

We study linear and semi-linear wave, heat, and SchrÃ¶dinger equations defined by Kre\uÄ±n-Feller operator $- I^_{I^} ¼$ on a complete Riemannian $n$ -manifolds $M$ , where $I^¼$ is a fini…