A new class of parabolic problems connected with Newton s polygon

Denk, Robert; Volevič, Leonid R.

A new class of parabolic problems connected with Newton s polygon

Files

rd32.pdf(203.69 KB)

Date

2007

Authors

Denk, Robert

Volevič, Leonid R.

Publication type

Journal article

Published in

Discrete and continuous dynamical systems / S ; 2007. - pp. 294-303

Abstract

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.

Subject (DDC)

510 Mathematics

Keywords

free boundary value problems,parabolic equations,Lopatinskii matrix,Newton s polygon

Cite This

ISO 690

DENK, 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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