An inequality concerning rearrangements of functions and Hamilton-Jacobi equations
type: Item
instance of: scholarly article
title: An inequality concerning rearrangements of functions and Hamilton-Jacobi equations
zbMATH Open document ID: 0787.35020
DOI: 10.1007/BF00383221
published in: Archive for Rational Mechanics and Analysis
publication date: 1994-03-10T00:00:00Z
review text: The authors prove an inequality concerning the decreasing rearrangement of functions. This inequality gives a comparison result between the viscosity solution of an initial boundary value problem for the Hamilton- Jacobi equation and the viscosity solution of the ``symmetrized'' problem.
Mathematics Subject Classification ID: 35F10
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 35D99
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 501117
zbMATH Keywords: Cauchy problem
zbMATH Keywords: distribution function
zbMATH Keywords: spherically symmetric decreasing rearrangement
zbMATH Keywords: Schwarz symmetrization
zbMATH Keywords: comparison
zbMATH Keywords: viscosity solution
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: Hamilton-Jacobi equation
author: Vincenzo Ferone
author: M. Rosaria Posteraro
author: Roberta Volpicelli
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00383221
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description: scientific article; zbMATH DE number 501117