一类具有对数非线性项的p-双调和抛物方程解的衰退
Decay of Solutions for a p-Biharmonic Parabolic Equation with Logarithmic Nonlinearity
DOI: 10.12677/aam.2024.137318, PDF,    科研立项经费支持
作者: 赵雅鑫*, 吴秀兰：长春理工大学数学与统计学院，吉林 长春
关键词: p-双调和抛物方程；对数非线性项；衰退；p-Biharmonic Parabolic Equation； Logarithmic Nonlinearity； Decay
摘要: 文章研究了具有p-双调和算子和对数非线性项的抛物方程的初边值问题。在改进的位势井理论框架下，利用微分不等式技巧得到了适当条件下弱解的衰退估计，推广和改进了已有结果。
Abstract: In this paper, the initial-boundary value problem for a parabolic equation with p-biharmonic operator and logarithmic nonlinearity is studied. Under the improved framework of potential well theory, the decay estimation of weak solutions under appropriate conditions was obtained by differential inequality techniques, which generalizes and improves existing results.
文章引用：赵雅鑫, 吴秀兰. 一类具有对数非线性项的p-双调和抛物方程解的衰退[J]. 应用数学进展, 2024, 13(7): 3324-3331. https://doi.org/10.12677/aam.2024.137318

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