An extensive study of the regularity of solutions to doubly singular equations
Vincenzo Vesprı, Matias Vestberg
Abstract
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 theory.
Topics & Concepts
Mathematical proofMathematicsChaoticNonlinear systemCalculus (dental)Applied mathematicsAlgebra over a fieldPure mathematicsComputer scienceGeometryQuantum mechanicsArtificial intelligencePhysicsDentistryMedicineNonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsAdvanced Mathematical Modeling in Engineering