On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up

被引：1

作者：

Irkil, Nazli ^{[1
]}

Mahdi, Khaled ^{[2
]}

Piskin, Erhan ^{[3
]}

Alnegga, Mohammad ^{[4
]}

Boulaaras, Salah ^{[4
]}

机构：

[1] Mardin Said Nursi Anatolian High Sch, Mardin, Turkiye

[2] Msila Univ, Dept Phys, Fac Sci, Box 166, Msila, Algeria

[3] Dicle Univ, Dept Math, Diyarbakir, Turkiye

[4] Qassim Univ, Coll Sci & Arts ArRass, Dept Math, Buraydah 51452, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Blow-up; Dynamical boundary condition; Existence; Logarithmic nonlinearity; Partial differential equations; Mathematical operators; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; NONEXISTENCE; DECAY;

D O I：

10.1186/s13660-023-03072-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the Faedo-Galerkin method and the Schauder fixed-point theorem. Additionally, under suitable assumptions on initial data, the lower bound time of the blow-up result is investigated.

引用

页数：23

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