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On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable

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Abstract

We consider the first initial boundary-value problem for strongly parabolic systems in an infinite cylinder with nonsmooth boundary. We establish conditions for the existence of generalized solutions, an estimate for this solutions, and an estimate for the derivative of the solution.

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REFERENCES

  1. V. A. Kondrat'ev, Tr. Mosk. Mat. Obshch., 16, 209–292 (1967).

    Google Scholar 

  2. V. G. Maz'ya and B. A. Plamenevskii, Tr. Mosk. Mat. Obshch., 37, 49–93 (1978).

    Google Scholar 

  3. M. S. Agranovich and M. I. Vishik, “Elliptic problems with a parameter and parabolic problems of general type,” Usp. Mat. Nauk, 19, No. 3, 53–161 (1964).

    Google Scholar 

  4. A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik, “Linear equations of the second order of parabolic type,” Usp. Mat. Nauk, 17, No. 3, 3–146 (1962).

    Google Scholar 

  5. G. Fichera, Existence Theorems in Elasticity, Springer, New York–Berlin (1972).

    Google Scholar 

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Authors and Affiliations

  1. Hanoi University of Education, Vietnam

    Nguyen Manh Hung &  Pham Trieu Duong

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  1. Nguyen Manh Hung
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  2. Pham Trieu Duong
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Nguyen Manh Hung, Pham Trieu Duong On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable. Ukrainian Mathematical Journal 56, 96–108 (2004). https://doi.org/10.1023/B:UKMA.0000031705.11559.7d

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  • DOI: https://doi.org/10.1023/B:UKMA.0000031705.11559.7d

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