Nonexistence of global solutions of a delayed wave equation with variable-exponents

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Yüksekkaya H., Pişkin E.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.2021, ss.841-859, 2021 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2021
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3487
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.841-859
  • Hakkari Üniversitesi Adresli: Hayır

Özet

This work deals with a Petrovsky equation with delay term and variable exponents.

Firstly, we establish the local existence result by the Faedo-Galerkin method. Later, we prove

the blow-up of solutions in a finite time. Our results are more general than the earlier results.