Work

Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity

Year: 2025

Type: article

Abstract: To verify theoretical results it is sometimes important to use a numerical example where the solution has a particular regularity. The paper describes one approach to construct such examples. It is based on the regularity theory for elliptic boundary value problems.

Source: Examples and Counterexamples

DOI: 10.1016/j.exco.2025.100198

Authors: Thomas Apel, Katharina Lorenz, Serge Nicaise

Institutions: Universität der Bundeswehr München, Université Polytechnique Hauts-de-France

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $420

OpenAlex ID: W4414281772

FWCI:

Cites: 3

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