论文标题
重新审视的不均匀1-Laplace演化方程的存在和独特性
Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited
论文作者
论文摘要
在本文中，我们处理涉及1-Laplacian操作员的不均匀抛物线差异问题。当数据属于$ l^1（0，t; l^2（ω））$时，我们显示了一个唯一解决方案的存在。结果，获得了$ l^1_ {loc}（0，+\ infty; l^2（ω））$中数据的全局存在和唯一性。我们的分析以正确而完整的方式检索\ cite {sw}的结果。
In this paper we deal with an inhomogeneous parabolic Dirichlet problem involving the 1-Laplacian operator. We show the existence of a unique solution when data belong to $L^1(0,T;L^2(Ω))$ for every $T>0$. As a consequence, global existence and uniqueness for data in $L^1_{loc}(0,+\infty;L^2(Ω))$ is obtained. Our analysis retrieves the results of \cite{SW} in a correct and complete way.
