Geodesic
On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 557-567

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Lower bounds are established for the rate of growth of generalized, locally bounded solutions of mixed problems for various classes of quasilinear degenerate parabolic equations both of second and higher orders in unbounded spatial domains. 
@article{SM_1992_73_2_a15,
     author = {V. F. Akulov and A. E. Shishkov},
     title = {On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains},
     journal = {Sbornik. Mathematics},
     pages = {557--567},
     publisher = {mathdoc},
     volume = {73},
     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_73_2_a15/}
}
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V. F. Akulov; A. E. Shishkov. On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 557-567. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a15/