Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity

• Autorzy: Lian Wei , Ahmed Md Salik , Xu Runzhang

Identyfikatory

DOI

10.7494/OpMath.2020.40.1.111

• Języki publikacji: EN

Abstrakty

EN

In this paper we consider the semilinear wave equation with the multiplication of logarithmic and polynomial nonlinearities. We establish the global existence and finite time blow up of solutions at three different energy levels (E(0) < d, E(0) = d and E(0) > 0) using potential well method. The results in this article shed some light on using potential wells to classify the solutions of the semilinear wave equation with the product of polynomial and logarithmic nonlinearity.

Słowa kluczowe

EN

global existence; blow-up; logarithmic and polynomial nonlinearity; potential well

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 1
• Strony: 111--130
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Lian Wei

• College of Automation Harbin Engineering University 150001, People's Republic of China

autor

Ahmed Md Salik

• Department of Mathematics and Physics North South University Dhaka-1229, Bangladesh

autor

Xu Runzhang

• College of Automation College of Mathematical Sciences Harbin Engineering University 150001, People's Republic of China

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).