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Blow-up of Solutions for Higher-order Nonlinear Kirchhofftype Equation with Degenerate Damping and Source

강용한|박종열
경북대학교 자연과학대학 수학과|2021.03|Kyungpook Mathematical Journal|제61권 제1호|pp. 1-10

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키워드

blow upKirchoff-type equationhigher-order nonlineardegenerate damping and source
주제분류수학

초록

This paper is concerned the finite time blow-up of solution for higher-order nonlinear Kirchhoff-type equation with a degenerate term and a source term. By an appropriate Lyapunov inequality, we prove the finite time blow-up of solution for equation (1.1) as a suitable conditions and the initial data satisfying ||Dmu0|| > B−(p+2)/(p−2q), E(0) <E1.

Abstract

This paper is concerned the finite time blow-up of solution for higher-order nonlinear Kirchhoff-type equation with a degenerate term and a source term. By an appropriate Lyapunov inequality, we prove the finite time blow-up of solution for equation (1.1) as a suitable conditions and the initial data satisfying ||Dmu0|| > B−(p+2)/(p−2q), E(0) <E1.

참고문헌 (17)

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