Potential capacity and applications

We introduce a new capacity associated to a non negative function V. We apply this notion to the study of a necessary and sufficient condition to ensure the existence and uniqueness of a Schrodinger type equation with measure data and with an operator whose coefficients are discontinuous . Our metho...

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Bibliographic Details
Main Author Rakotoson, Jean Michel
Format Journal Article
LanguageEnglish
Published 10.12.2018
Subjects
Mathematics - Analysis of PDEs
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Summary:We introduce a new capacity associated to a non negative function V. We apply this notion to the study of a necessary and sufficient condition to ensure the existence and uniqueness of a Schrodinger type equation with measure data and with an operator whose coefficients are discontinuous . Our method is based among others on a new topology and density results.
DOI:10.48550/arxiv.1812.04061