Around the normal derivative lemma
Darya E. Apushkinskaya, Alexander I. Nazarov
TL;DR
This survey reviews the historical development and current state of the boundary point principle, also known as the normal derivative lemma, in the qualitative theory of elliptic PDEs.
Contribution
It offers a comprehensive overview of the evolution and recent advances related to the normal derivative lemma in elliptic PDEs.
Findings
Historical progression of the boundary point principle
Recent developments in the normal derivative lemma
Connections to the strong maximum principle
Abstract
This survey provides a description of the history and the state of the art of one of the most important fields in the qualitative theory of elliptic partial differential equations including the strong maximum principle, the boundary point principle (the normal derivative lemma) and related topics.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Numerical Analysis Techniques · Advanced Numerical Methods in Computational Mathematics