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Theorems of Nonexistence of Nontrivial Nonnegative Weak Solution to Equations of Elliptic and Parabolic Type in Unbounded Domains

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Abstract

This article concerns solutions of elliptic and parabolic divergent inequalities. Attention is paid mainly to theorems of nonexistence of entire nontrivial solutions of these equations.

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Maksimova, N.O. Theorems of Nonexistence of Nontrivial Nonnegative Weak Solution to Equations of Elliptic and Parabolic Type in Unbounded Domains. Journal of Mathematical Sciences 114, 1510–1528 (2003). https://doi.org/10.1023/A:1022261114128

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