A new class of parabolic problems connected with Newton s polygon

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2007
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Volevič, Leonid R.
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Discrete and continuous dynamical systems / S, pp. 294-303. Available under: doi: 10.3934/proc.2007.2007.294
Zusammenfassung

A new class of boundary value problems for parabolic operators is introduced. We discuss some linearized free boundary problems not satisfying the classical parabolicity condition. It is shown that they belong to this class and by means of the Newton polygon method the nontrivial two-sided estimates of these problems are found.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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free boundary value problems, parabolic equations, Lopatinskii matrix, Newton s polygon
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ISO 690DENK, Robert, Leonid R. VOLEVIČ, 2007. A new class of parabolic problems connected with Newton s polygon. In: Discrete and continuous dynamical systems / S, pp. 294-303. Available under: doi: 10.3934/proc.2007.2007.294
BibTex
@article{Denk2007class-633,
  year={2007},
  doi={10.3934/proc.2007.2007.294},
  title={A new class of parabolic problems connected with Newton s polygon},
  journal={Discrete and continuous dynamical systems / S},
  pages={294--303},
  author={Denk, Robert and Volevič, Leonid R.}
}
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