Rellich inequalities in bounded domains

2019/07/24 by Giorgio Metafune, Luigi Negro, Metafune, G. +5
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1907.10341

openalex publication_date 2019/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp for functions in bounded domains vanishing at the boundary. General operators like L = Delta+ c‖x|²x nabla-b‖x|² are considered. Critical cases and remainder terms are also investigated.

Citations

• One-parameter semigroups for linear evolution equations

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