Existence and blow-up of solutions for higher-order Kirchhoff-type equation

被引：0

作者：

Ye, Yaojun ^{[1
]}

Chang, Shuting ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Stat, Hangzhou 310023, Peoples R China

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2025年 / 74卷 / 02期

关键词：

Higher-order Kirchhoff-type equation; Initial-boundary value problem; Local and global solutions; Blow up; Lifespan of solution; GLOBAL EXISTENCE; ASYMPTOTIC STABILITY; WAVE-EQUATIONS; ENERGY DECAY; SYSTEM;

D O I：

10.1007/s12215-025-01201-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the initial-boundary value problem for a model equation of higher-order Kirchhoff-type in a bounded domain. The existence of local and global solutions for this problem are proved by means of the contraction mapping criterion and potential well method. Meanwhile, we obtain the blow-up result of solution in the unstable set by using the concavity analysis method and give the lifespan estimate of solution.

引用

页数：13

共 50 条

[1] Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation
Li, FC
APPLIED MATHEMATICS LETTERS, 2004, 17 (12) : 1409 - 1414
[2] Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term
Yuksekkaya, Hazal
Piskin, Erhan
Boulaaras, Salah Mahmoud
Cherif, Bahri Belkacem
JOURNAL OF FUNCTION SPACES, 2021, 2021
[3] Blow-up of Solutions for Higher-order Nonlinear Kirchhoff-type Equation with Degenerate Damping and Source
Kang, Yong Han
Park, Jong-Yeoul
KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (01): : 1 - 10
[4] A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation
Messaoudi, Salim A.
Houari, Belkacem Said
APPLIED MATHEMATICS LETTERS, 2007, 20 (08) : 866 - 871
[5] Blow-up of Solutions for a System of Higher-Order Nonlinear Kirchhoff-Type Equations
Yaojun Ye
Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 665 - 677
[6] Blow-up of Solutions for a System of Higher-Order Nonlinear Kirchhoff-Type Equations
Ye, Yaojun
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (02) : 665 - 677
[7] LOWER BOUNDS FOR THE BLOW-UP TIME IN A HIGHER-ORDER NONLINEAR KIRCHHOFF-TYPE EQUATION
Ye, Yaojun
JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (01): : 69 - 77
[8] Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
Gao, Qingyong
Li, Fushan
Wang, Yanguo
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (03): : 686 - 698
[9] Blow up Solutions to a System of Higher-order Kirchhoff-type Equations with Positive Initial Energy
Peyravi, Amir
TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (04): : 767 - 789
[10] Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping
Zhou, Jun
APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 807 - 818

← 1 2 3 4 5 →