Geodesic
Non-existence of solutions of semilinear parabolic differential inequalities in cones
Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1471-1490

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Problems of the non-existence of global non-trivial solutions of semilinear parabolic differential inequalities and second-order systems in cones are investigated. The proofs are based on the method of test functions and do not use comparison theorems or the maximum principle. 
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     author = {G. G. Laptev},
     title = {Non-existence of solutions of semilinear parabolic differential inequalities in cones},
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     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_10_a3/}
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G. G. Laptev. Non-existence of solutions of semilinear parabolic differential inequalities in cones. Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1471-1490. http://geodesic.mathdoc.fr/item/SM_2001_192_10_a3/