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关于一类带耗散发展方程收敛率估计的注记

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带耗散的发展方程是一类在物理、机械领域有重要应用的方程,对于此类方程常采用先验估计以及能量积分方法证明方程解的存在性以及收敛性质.给出带耗散发方程在收敛率估计中常用的收敛定理,并给出具体证明过程,最后通过实例验证该方法的有效性.
A Note on the Estimation of the Convergence Rate of a Class of Dissipative Development Equations
Dissipative development equation is a kind of equations which have important applications in physics and mechani-cal fields.For this kind of equations,the existence and convergence of the solutions are proved by prior estimation and energy meth-od.In this paper,a common convergence theorem is given in the estimation of the convergence rates of the equation with dissipative development equation,concrete proof process is given.Finally,the effectiveness of the method is verified by an example.

convergence ratesSobolev spacedissipative termdevelopment equations

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山西大同大学数学与统计学院,山西大同 037009

收敛率 Sobolev空间 耗散 发展方程

山西省高等学校科技创新项目

2021L382

2024

山西大同大学学报(自然科学版)
山西大同大学

山西大同大学学报(自然科学版)

影响因子:0.271
ISSN:1674-0874
年,卷(期):2024.40(1)
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