Absence of Solutions to Higher-Order Evolution Differential Inequalities

@article{Laptev2003AbsenceOS,
  title={Absence of Solutions to Higher-Order Evolution Differential Inequalities},
  author={Gennady Gennadievich Laptev},
  journal={Siberian Mathematical Journal},
  year={2003},
  volume={44},
  pages={117-131}
}
Sufficient conditions are given for absence of global solutions to semilinear evolution differential equations and inequalities of higher order (in the time variable). These results generalize the well-known assertions for parabolic and hyperbolic equations. The proofs base on the test function method by Veron, Mitidieri, Pokhozhaev, and Tesei. 

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