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Necessary and Sufficient Conditions for Solvability of the Initial-Boundary Value Transport Problem

In: Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media

Author

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  • Victor P. Shutyaev

    (Russian Academy of Sciences, Institute of Numerical Mathematics)

Abstract

The problems of solvability of transport equations have attracted the attention of many researchers (see the well-known papers by V.S. Vladimirov 1, T.A. Germogenova 2,3, V.I. Agoshkov 4,5 for stationary problems, and the papers by A. Douglis 6, Yu. Kuznetsov and S.F. Morozov 7 U.M. Sultangazin 8 V.M. Novikov and S.B. Shikhov 9, W. Greenberg, Van der Mee, and V. Protopopescu 10, and by the author 11 —for nonstationary problems).

Suggested Citation

  • Victor P. Shutyaev, 1999. "Necessary and Sufficient Conditions for Solvability of the Initial-Boundary Value Transport Problem," Springer Books, in: Ludmila A. Uvarova & Arkadii E. Arinstein & Anatolii V. Latyshev (ed.), Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, pages 77-84, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-4799-0_5
    DOI: 10.1007/978-1-4615-4799-0_5
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