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Cauchy problem; time dependent; nonlinear transport; initial value problem; reactor kinetics with temperature feedback; Local and Global existence; uniqueness; analytical solution; neutron flux

References:

[1] J. Mika D. Obradovič R. Stankiewicz: **Spectral properties of a multigroup transport operator with delayed neutrons in plane geometry**. Bulletin of the Boris Kidrič Institute of Nuclear Sciences, Vol. 19, Nuclear engineering, No. 5, P/433 (1968).

[2] Ю. И. Ершов С. Б. Шихов: **Математические основы теории переноса**. том 2, Москва (1985). Zbl 1223.81132

[3] P. F. Zweifel: **Reactor Physics**. New York (1973).

[4] J. Kyncl: **Initial value problem for the equations of reactor kinetics**. ÚJV 8021-R (1987).

[5] A. Friedman: **Partial differential equations of parabolic type**. Prentice-Hall, inc., Engelwood Cliffs, N.J. (1964). MR 0181836 | Zbl 0144.34903