A new class of parabolic problems connected with Newton s polygon
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 ; 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.
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510 Mathematics
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free boundary value problems,parabolic equations,Lopatinskii matrix,Newton s polygon
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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.2007.2007.294BibTex
@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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