一类具有线性增长的拟线性抛物型方程的广义Young测度解
偏微分方程分析
2024-06-04 v1
摘要
利用广义Young测度理论，我们将Young测度解的理论推广到一类具有线性增长的拟线性抛物型方程，并引入了广义Young测度解的概念。我们证明了广义Young测度解的存在唯一性。此外，对于凸抛物变分积分的梯度流，我们证明了广义Young测度解与强解是等价的。
引用
@article{arxiv.2406.01043,
title = {Generalized Young Measure Solutions for a Class of Quasilinear Parabolic Equations with Linear Growth},
author = {Jingfeng Shao and Zhichang Guo and Chao Zhang},
journal= {arXiv preprint arXiv:2406.01043},
year = {2024}
}
备注
This paper extend the theory of Young measure solutions to a class of quasilinear parabolic equations with linear growth, and introduce a concept of generalized Young measure solutions