Geodesic
Unbounded solutions of the~Cauchy problem for doubly nonlinear degenerate parabolic equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 543-557.

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We prove several theorems on the global solvability of the Cauchy problem with initial data increasing at infinity for one-dimensional second-order implicitly degenerate parabolic equations that contain certain powers of the unknown and of its derivative with respect to the spatial argument. 
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     author = {A. S. Kalashnikov},
     title = {Unbounded solutions of {the~Cauchy} problem for doubly nonlinear degenerate parabolic equations},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a5/}
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A. S. Kalashnikov. Unbounded solutions of the~Cauchy problem for doubly nonlinear degenerate parabolic equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 543-557. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a5/