Second order p-evolution equations with critical nonlinearity

Authors

  • Marcello D'Abbicco Department of Mathematics, University of Bari, Via E. Orabona 4, 70125 BARI - ITALY
  • Giovanni Girardi Department of Industrial Engineering and Mathematical Sciences, Polytechnic University of Marche, Via Brecce Bianche 12, 60131 ANCONA - ITALY

DOI:

https://doi.org/10.6092/issn.2240-2829/18879

Keywords:

Semilinear evolution equations, Noneffective damping, Critical nonlinearity, Global existence, Small data solutions

Abstract

In this paper, we study critical nonlinearities for global small data solutions to the plate equation and other second order p-evolution equations, possibly under the action of a noneffective dissipative term.

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Published

2024-01-09

How to Cite

D’Abbicco, M., & Girardi, G. (2023). Second order p-evolution equations with critical nonlinearity. Bruno Pini Mathematical Analysis Seminar, 14(2), 263–280. https://doi.org/10.6092/issn.2240-2829/18879