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Source-type solutions for equations of nonstationary filtration. (English) Zbl 0387.76083

MSC:
76S05 Flows in porous media; filtration; seepage
35K55 Nonlinear parabolic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
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[2] Kalashnikov, A.S, The Cauchy problem in a class of growing functions for equations of unsteady filtration type, Vestnik moskov. univ. ser. VI mat. mech., 6, 17-27, (1963), (Russian) · Zbl 0158.11502
[3] Kamenomostskaya, S, The asymptotic behaviour of the solution of the filtration equation, Israel J. math., 14, 76-87, (1973) · Zbl 0254.35054
[4] Kamin (Kamenomostskaya), S, Some estimates for solutions of the Cauchy problem for equations of a nonstationary filtration, J. differential equations, 20, 321-335, (1976) · Zbl 0318.35048
[5] Kamin (Kamenomostskaya), S, Similar solutions and the asymptotics of filtration equations, Arch. rational mech. anal., 60, 171-183, (1976) · Zbl 0336.76036
[6] Oleinik, O.A; Kalashnikov, A.S; Chzhou, Y.-L, The Cauchy problem and boundary problems for equations of the type of nonstationary filtration, Izv. akad. nauk SSSR ser. mat., 22, 667-704, (1958) · Zbl 0093.10302
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[9] Zeldovich, Ya.B; Raizer, Yu.P, ()
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