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Published in:
2014 | OriginalPaper | Chapter
Weak Solutions and Related Topics
Authors : Björn Gustafsson, Razvan Teodorescu, Alexander Vasil’ev
Published in: Classical and Stochastic Laplacian Growth
Publisher: Springer International Publishing
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In the previous chapter we discussed strong solutions, which for their definition require smooth boundaries and smooth dependence on
t
. This section is devoted to
weak solutions
, more precisely variational inequality weak solutions, which are closely related to potential theory (they can be viewed as instances of partial balayage) and also to quadrature domains and related topics.