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

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.

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DOI: http://dx.doi.org/10.24193/subbmath.2020.4.05

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