Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity

This paper concerns a viscoelastic Kirchhoff-type equation with the dispersive term, internal damping, and logarithmic nonlinearity. We prove the local existence of a weak solution via a modified lemma of contraction of the Banach fixed-point theorem. Although the uniqueness of a weak solution is st...

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Auteurs principaux:	Sebastião Cordeiro, Carlos Raposo, Jorge Ferreira, Daniel Rocha, Mohammad Shahrouzi
Format:	Artigo
Langue:	Inglês
Publié:	AGH Univeristy of Science and Technology Press 2023-10-01
Collection:	Opuscula Mathematica
Sujets:	viscoelastic equation dispersive term logarithmic nonlinearity local existence
Accès en ligne:	https://www.opuscula.agh.edu.pl/vol44/1/art/opuscula_math_4402.pdf
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