论文标题
强烈的降低抛物线方程的痕迹
Strong traces to degenerate parabolic equations
论文作者
论文摘要
我们证明，对于（多维）退化抛物线方程的准溶液，存在$ t = 0 $的强迹线，没有非分类条件。为了解决该问题，我们结合了爆炸方法，并与诱导的抛物性方程式相对于空间维度的诱导参数而产生了强大的预分解结果。
We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the space dimension.
