Abstract
This article concerns systems of singular second-order parabolic equations or inequalities with nonlinear and various main terms. General and special theorems of nonexistence of nontrivial solutions are established. The proofs are based on the method of special test functions developed by the authors.
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Mitidieri, E., Pokhozhaev, S.I. On Systems of Singular Quasilinear Parabolic Equations and Inequalities. Journal of Mathematical Sciences 114, 1529–1546 (2003). https://doi.org/10.1023/A:1022213230966
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DOI: https://doi.org/10.1023/A:1022213230966