Geodesic
On blow-up of solutions of some systems of quasilinear parabolic inequalities
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 4, Tome 48 (2013), pp. 84-92

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We study systems of parabolic inequalities (including singular and degenerate ones), which contain squares of first derivatives of the unknown function with respect to spatial variables. We establish conditions that guarantee nonexistence of their global solutions. 
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     author = {A. B. Muravnik},
     title = {On blow-up of solutions of some systems of quasilinear parabolic inequalities},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {84--92},
     publisher = {mathdoc},
     volume = {48},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2013_48_a6/}
}
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A. B. Muravnik. On blow-up of solutions of some systems of quasilinear parabolic inequalities. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 4, Tome 48 (2013), pp. 84-92. http://geodesic.mathdoc.fr/item/CMFD_2013_48_a6/