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
An extensive study of the regularity of solutions to doubly singular equations / Vincenzo Vespri ; Matias Vestberg. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - STAMPA. - 15:(2022), pp. 435-473. [10.1515/acv-2019-0102]
An extensive study of the regularity of solutions to doubly singular equations
Vincenzo Vespri;
2022
Abstract
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 theoryFile | Dimensione | Formato | |
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[18648266 - Advances in Calculus of Variations] An extensive study of the regularity of solutions to doubly singular equations.pdf
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