演化无穷拉普拉斯算子柯西问题的增长条件与唯一性
偏微分方程分析
2010-09-17 v2
摘要
我们研究抛物型无穷拉普拉斯方程的柯西问题。我们证明了一个新的比较原理，并在具有多项式增长（在无穷远处）的函数类中获得了粘性解的唯一性，改进了先前在线性增长假设下得到的结果。
引用
@article{arxiv.0809.2523,
title = {Growth conditions and uniqueness of the Cauchy problem for the evolutionary infinity Laplacian},
author = {Tommaso Leonori and José Miguel Urbano},
journal= {arXiv preprint arXiv:0809.2523},
year = {2010}
}
备注
This paper has been withdrawn by the author due to a gap in the proof of Lemma 2.3. In fact, the condition $\Phi (x,y,0,0) \leq 0$ does not directly follow from (6) and (7)