标题： 变指数记忆模型多尺度粘弹性演化方程的分析 显示英文标题

标题： Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity

摘要： 我们研究了一种具有非正型变指数记忆的演化方程的适定性和解的规则性，该方程描述了具有记忆材料的多尺度黏弹性。应用摄动方法进行模型变换，并基于此证明了适定性。然后推导出加权解规则性，其中初始奇异性由变指数的初始值表征。 显示英文摘要

摘要： We investigate the well-posedness and solution regularity of an evolution equation with non-positive type variable-exponent memory, which describes multiscale viscoelasticity in materials with memory. The perturbation method is applied for model transformation, based on which the well-posedness is proved. Then the weighted solution regularity is derived, where the initial singularity is characterized by the initial value of variable exponent.