On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations

On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations

We study the Cauchy problem for a doubly nonlinear parabolic equation with anisotropic degeneration in the case where the initial data are locally finite Radon measures growing, generally saying, at infinity. The weak solution of the problem is obtained as the limit of regular solutions with smoothe...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-02, Vol.181 (1), p.28-46
Hauptverfasser: Degtyarev, Sergei P., Tedeev, Anatolii F.
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropy
Mathematics
Mathematics and Statistics
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Zusammenfassung:We study the Cauchy problem for a doubly nonlinear parabolic equation with anisotropic degeneration in the case where the initial data are locally finite Radon measures growing, generally saying, at infinity. The weak solution of the problem is obtained as the limit of regular solutions with smoothed initial data.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0674-x