一类具有粘弹性项的kirchhoff -载波型伪抛物非线性方程的Robin-Dirichlet问题的一般衰减和爆破结果

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-03-21 DOI:10.1007/s40306-023-00496-3

Le Thi Phuong Ngoc, Nguyen Anh Triet, Phan Thi My Duyen, Nguyen Thanh Long

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引用次数: 0

摘要

本文研究了具有粘弹性项的Kirchhoff-Carrier型非线性拟抛物型方程的Robin-Dichlet问题。在初始数据和粘弹性项中包含的松弛函数的适当假设下，我们得到了弱解存在、唯一、爆破和衰减的充分条件。这里获得的结果扩展了作者先前论文中的结果（Ngoc等人，Math.Meth.Appl.Sci.44（11），8697–8725，26）。

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General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term

In this paper, we investigate the Robin-Dirichlet problem for a nonlinear pseudoparabolic equation of Kirchhoff-Carrier type with viscoelastic term. Under suitable assumptions on the initial data and the relaxation function included in the viscoelastic term, we obtain sufficient conditions for the existence, uniqueness, blow-up, and decay of a weak solution. The results obtained here extend the ones in a previous paper of the authors (Ngoc et al., Math. Meth. Appl. Sci. 44(11), 8697–8725, 26).

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.