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arXiv · 1812.04061

Potential capacity and applications

Jean Michel Rakotoson
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Abstract

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.

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Jean Michel Rakotoson. 2018-12-10. Potential capacity and applications. https://arxiv.org/abs/1812.04061

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