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

Eugenio Cabanillas Lapa; Zacarias L. Huaringa Segura; Juan B. Bernui Barros; Eduardo V. Trujillo Flores

doi:10.24193/subbmath.2020.4.05

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

Published

2020-11-26

Issue

Vol. 65 No. 4 (2020)

Section

Articles

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