Abstract In this paper we obtain the local Hölder regularity of the weak solutions for singular parabolic equations with variable exponents. The proof is based on DiBenedetto’s technique called intrinsic scaling; by choosing an appropriate geometry one can deduce energy and logarithmic estimates from which one can implement an iterative method to obtain the regularity result.

中文翻译：

---

具有可变非线性的奇异抛物线方程的 Hölder 连续性

摘要 本文得到了变指数奇异抛物方程弱解的局部Hölder正则性。证明基于 DiBenedetto 的称为内在缩放的技术；通过选择合适的几何形状，人们可以推导出能量和对数估计，从中可以实施一种迭代方法来获得规律性结果。