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An extensive study of the regularity of solutions to doubly singular equations
Advances in Calculus of Variations ( IF 1.3 ) Pub Date : 2020-03-20 , DOI: 10.1515/acv-2019-0102
Vincenzo Vespri 1 , Matias Vestberg 2
Affiliation  

In recent years, many papers have been devoted to the regularity of doubly nonlinear singular evolution equations. Many of the proofs are unnecessarily complicated, rely on superfluous assumptions or follow an inappropriate approximation procedure. This makes the theory unclear and quite chaotic to a nonspecialist. The aim of this paper is to fix all the misprints, to follow correct procedures, to exhibit, possibly, the shortest and most elegant proofs and to give a complete and self-contained overview of the theory.

中文翻译:

双重奇异方程解正则性的广泛研究

近年来,许多论文致力于双重非线性奇异演化方程的正则性。许多证明不必要地复杂,依赖于多余的假设或遵循不合适的近似过程。这使得该理论不清楚,并且对于非专业人士而言非常混乱。本文的目的是修复所有印刷错误,遵循正确的程序,以显示最短和最优雅的证明,并对理论进行完整且独立的概述。
更新日期:2020-03-20
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