Qualitative analysis of solutions for the <i>p</i>‐Laplacian hyperbolic equation with logarithmic nonlinearity
Erhan Pışkın, Salah Boulaaras, Nazlı Irkıl
Abstract
In this paper, the p ‐Laplacian hyperbolic type equation with logarithmic nonlinearity and weak damping term are considered, where the global existence of solutions by using the potential well method is discussed. Furthermore, the growth and the decay estimates of solutions for the problem are studied.
Topics & Concepts
MathematicsLogarithmNonlinear systemLaplace operatorMathematical analysisHyperbolic partial differential equationp-LaplacianTerm (time)Hyperbolic functionType (biology)Applied mathematicsPartial differential equationPhysicsBoundary value problemEcologyQuantum mechanicsBiologyStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsNonlinear Partial Differential Equations