| License: Creative Commons Attribution 4.0 PDF - Published Version (2MB) |
- URN to cite this document:
- urn:nbn:de:bvb:355-epub-462444
- DOI to cite this document:
- 10.5283/epub.46244
Abstract
In this paper we establish the well-posedness of the Muskat problem with surface tension and equal viscosities in the subcritical Sobolev spaces W^s_p(\mathbb {R}), where {p\in (1,2]} and {s\in (1+1/p,2)}. This is achieved by showing that the mathematical model can be formulated as a quasilinear parabolic evolution problem in W^{\overline{s}-2}_p(\mathbb {R}), where {\overline{s}\in (1+1/p,s)}. ...
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