Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents

We consider a class of Kirchhoff type reaction-diffusion equations with variable exponents and source terms \begin{equation*} u_t-M\biggl(\int_\Omega\vert\nabla u \vert^2 {\rm d}x\bigg) \Delta u+ \vert u \vert^{m(x) -2}u_t= \vert u \vert^{r(x) -2}u. \end{equation*} We prove with suitable assumptions...

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Auteurs principaux:	Aya Khaldi, Amar Ouaoua, Messaoud Maouni
Format:	Artigo
Langue:	Inglês
Publié:	Institute of Mathematics of the Czech Academy of Science 2022-12-01
Collection:	Mathematica Bohemica
Sujets:	kirchhoff equation reaction-diffusion equation variable exponent global solution
Accès en ligne:	http://mb.math.cas.cz/full/147/4/mb147_4_3.pdf
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