Open AccessMathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearity
Author(s) -
Nazlı Irkil,
Erhan Pışkin
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.51971
Subject(s) - logarithm , type (biology) , nonlinear system , mathematics , mathematical analysis , term (time) , energy (signal processing) , physics , statistics , quantum mechanics , ecology , biology
We consider the existence and decay estimates of solutions for Kirchhoff type equation with damping logarithmic source term. We proved global existence of solutions under suitable conditons by potential well method and the decay estimates result of the solutions for subcritical energy level.