@Article{JCM-7-100,
author = {Douglas N. Arnold and Patrick J. Noon},
title = {Coercivity of the Single Layer Heat Potential},
journal = {Journal of Computational Mathematics},
year = {1989},
volume = {7},
number = {2},
pages = {100--104},
abstract = {<p style="text-align: justify;">The single layer heat potential operator, K, arises in the solution of initial-boundary value problems for the heat equation using boundary integral methods. In this note we show that K maps a certain anisotropic Sobolev space isomorphically onto its dual, and, moreover, satisfies the coercivity inequality $ &lt; K_{q,q} &gt;\geq c\|q\|^2$. We thereby establish the well-posedness of the operator equation $K_q=f$ and provide a basis for the analysis of the discretizations.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9459.html}
}