Boundary Value Problems for the $2^{nd}$-order Seiberg-Witten Equations

Details Boundary Value Problems for the $2^{nd}$-order Seiberg-Witten Equations Boundary Value Problems for the $2^{nd}$-order Seiberg-Witten Equations

2004-03-26

arxiv.org/abs/math/0403469v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

It is shown that the non-homogeneous Dirichlet and Neuman problems for the
$2^{nd}$-order Seiberg-Witten equation admit a regular solution once the
$\mathcal{H}$-condition (described in the article) is satisfied. The approach
consist in applying the elliptic techniques to the variational setting of the
Seiberg-Witten equation.

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