arXiv:1907.10341 Abstract | arXiv Analytics

arXiv:1907.10341 [math.AP]Abstract References Reviews Resources

Rellich inequalities in bounded domains

G. Metafune, L. Negro, M. Sobajima, C. Spina

Published 2019-07-24Version 1

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.

Categories: math.AP

Keywords: bounded domains, remainder terms, general operators, sufficient conditions, weighted rellich inequalities

Related articles: Most relevant | Search more

arXiv:1806.02393 [math.AP] (Published 2018-06-06)

Inviscid limit for SQG in bounded domains

Peter Constantin, Mihaela Ignatova, Huy Nguyen

arXiv:1802.09668 [math.AP] (Published 2018-02-27)

Propagation of chaos for the Keller-Segel equation over bounded domains

Razvan C. Fetecau, Hui Huang, Weiran Sun

arXiv:2304.01129 [math.AP] (Published 2023-04-03)

Diffusive Limit of the Boltzmann Equation in Bounded Domains

Zhimeng Ouyang, Lei Wu