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ON CLASSICAL SOLUTION OF THE MIXED PROBLEMS FOR SINGULAR HYPERBOLIC AND PARABOLIC EQUATIONS

Annotation

In the work, there are established sufficient conditions on the area boundary, the operator coefficients, the right-hand side and the initial function under which the Fourier series gives a classical solution of the first boundary-value for the second order hyperbolic and parabolic equations containing the Bessel operator on several phase variables.

Keywords

Bessel operator; mixed problem; hyperbolic and parabolic equations

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UDC

517.958

Pages

1418-1420

References

1. Kipriyanov I.A. Singulyarnye ellipticheskie kraevye zadachi. M.: Nauka, 1997. 2. Sazonov A.Yu., Fomicheva Yu.G. O zadache Dirikhle v neogranichennoy oblasti dlya B-ellipticheskogo operatora c osobennostyami po neskol'kim peremennym // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2012. T. 17. № 1. S. 72-73.

Received

2015-06-01

Section of issue

Scientific articles

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