论文标题
加权$ l^1 $空间中退化抛物线方程的唯一性
Uniqueness for degenerate parabolic equations in weighted $L^1$ spaces
论文作者
论文摘要
我们研究了在没有施加边界条件的有限域中构成的变性抛物线问题的唯一性。在对操作员的合适假设下，对于满足适当积分条件的解决方案，获得了唯一性；特别是，这种条件适用于属于合适加权$ l^1 $空间的无界解决方案。
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where no boundary conditions are imposed. Under suitable assumptions on the operator, uniqueness is obtained for solutions that satisfy an appropriate integral condition; in particular, such condition holds for possibly unbounded solutions belonging to a suitable weighted $L^1$ space.
