On a Poisson's equation arising from magnetism

Luca Lussardi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We review the proof of existence and uniqueness of the Poisson's equation $\Delta u=div m=0$ whenever $m$ is a unit $L^2$ vector field on $R^3$ with compact support. By standard linear potential theory we deduce also $H^1$ regularity of the unique weak solution.
Original languageEnglish
Pages (from-to)769-772
Number of pages4
JournalDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Volume8
DOIs
Publication statusPublished - 2015

Keywords

  • Poisson equation
  • Riesz potential

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