Abstract
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.
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© 2014 Springer International Publishing Switzerland
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Gustafsson, B., Teodorescu, R., Vasil’ev, A. (2014). Weak Solutions and Related Topics. In: Classical and Stochastic Laplacian Growth. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-08287-5_3
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DOI: https://doi.org/10.1007/978-3-319-08287-5_3
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-08286-8
Online ISBN: 978-3-319-08287-5
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