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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 374–393 (Mi smj1847)  
This article is cited in 7 scientific papers (total in 7 papers)

The Cauchy problem for one class of parabolic pseudodifferential systems with nonsmooth symbols

V. A. Litovchenko

Chernivtsi National University named after Yuriy Fedkovych
Full-text PDF (447 kB) Citations (7)
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Abstract: In the class of finite-order distributions we establish the well-posedness of the Cauchy problem for parabolic pseudodifferential systems whose symbols are nonsmooth functions at a fixed point $h\in\mathbb R^n$ generated by homogeneous functions of order $\gamma>0$ depending on time.
Keywords: Cauchy problem, pseudodifferential system, nonsmooth symbol, convolution, distribution, matriciant.
Received: 15.02.2006
Revised: 05.10.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 2, Pages 300–316
DOI: https://doi.org/10.1007/s11202-008-0030-z
Bibliographic databases:
UDC: 517.956.4
Language: Russian
Citation: V. A. Litovchenko, “The Cauchy problem for one class of parabolic pseudodifferential systems with nonsmooth symbols”, Sibirsk. Mat. Zh., 49:2 (2008), 374–393; Siberian Math. J., 49:2 (2008), 300–316
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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