An essay on the foundations of variational methods: Exploring Sobolev Spaces for boundary integral equations

This work addresses the uniqueness and regularity of solutions to integral equations associated with elliptic boundary value problems in irregular domains. Traditional results often assume smooth (Lipschitz) boundaries, but this study extends these results to more general domains with irregular bou...

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Bibliographic Details
Main Authors: Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
Format: Article
Language:English
Published: Universidade Federal de Viçosa (UFV) 2024-07-01
Series:The Journal of Engineering and Exact Sciences
Subjects:
Online Access:https://periodicos.ufv.br/jcec/article/view/18895
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