Email this article A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem
- Authors: Mandrik N.V.1
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Issue: Vol 230, No 1 (2018)
- Pages: 118-140
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240635
- DOI: https://doi.org/10.1007/s10958-018-3732-1
- ID: 240635
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Abstract
We study the free boundary problem for the plasma–vacuum interface in the case where the plasma density is strictly positive up to the boundary. For the linearized problem we derive the so-called tame estimates which can be used for proving the existence of solutions to the nonlinear problem by the Nash-Moser method.
About the authors
N. V. Mandrik
Sobolev Institute of Mathematics SB RAS
Author for correspondence.
Email: manikitos@gmail.com
Russian Federation, 4, Akad. Koptyuga pr., Novosibirsk, 630090
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