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Nonexistence of nontrivial global solutions for nonlocal in time differential inequalities. (English) Zbl 1516.35566

Summary: In this paper, some nonlocal in time differential inequalities of Sobolev type are considered. Using the nonlinear capacity method, sufficient conditions for the nonexistence of nontrivial global classical solutions are provided.

MSC:

35R45 Partial differential inequalities and systems of partial differential inequalities
35B33 Critical exponents in context of PDEs
35B44 Blow-up in context of PDEs
26A33 Fractional derivatives and integrals
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