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

Lapa E.C.; Segura Z.L.H.; Barros J.B.B.; Flores E.V.T. · Studia Universitatis Babes-Bolyai Mathematica (2020) · DOI: 10.24193/subbmath.2020.4.05

Resumen

This work is concerned with a class of diffusion problem of Kirchhoff 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.