Nonexistence of Global Solutions for the Kirchhoff-Type Equation with Fractional Damped

ISSN: 2645-8845
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2018
Yayıncı: Fuat USTA

In this work, we investigate the Kirchhoff-type equation with a fractional damping term in a bounded domain. The fractional damping term plays a quenching role, which is weaker than strong damping and stronger than weak damping term. We prove a nonexistence of global solutions with negative inital energy. This result extends and improves some results in the literature.

Keywords:

Fractional damping term Global nonexistence, Kirchhoff-type equation,

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