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 language | English |
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Pages (from-to) | 769-772 |
Number of pages | 4 |
Journal | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S |
Volume | 8 |
DOIs | |
Publication status | Published - 2015 |
Externally published | Yes |
Keywords
- Poisson equation
- Riesz potential