A class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian

Authors

  • Eugenio Cabanillas Lapa Universidad Nacional mayor de SAn Marcos
  • Zacarias L. Huaringa Segura
  • Juan B. Bernui Barros
  • Eduardo V. Trujillo Flores

DOI:

https://doi.org/10.24193/subbmath.2020.4.05

Abstract

This work is concerned with a class of diusion problem of
Kirchho type with viscoelastic term and nonlinear interior source in
the setting of the fractional Laplacian. Under suitable conditions we
prove the existence of global solutions and the exponential decay of the
energy.

Author Biography

  • Eugenio Cabanillas Lapa, Universidad Nacional mayor de SAn Marcos
    Instituto de Investigacion-Facultad de Ciencias Matematicas

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Published

2020-11-26

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Section

Articles