Variational principle for general diffusion problems
type: Item
instance of: scholarly article
title: Variational principle for general diffusion problems
zbMATH Open document ID: 1074.35059
author: Luca Petrelli
author: Adrian Tudorascu
published in: Applied Mathematics and Optimization
publication date: 2005-02-21T00:00:00Z
review text: The authors study the existence of weak solutions for a class of nonhomogeneous parabolic equations of Fokker-Plank type having time dependent nonlinear diffusion term and drift coefficient, and with Neumann type boundary conditions. The weak solutions are constructed (approximated) by using a variational principle expressed in terms of the Wasserstein distance. A needed maximum principle for the equations under consideration is previously established.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 46N10
zbMATH DE Number: 2135338
zbMATH Keywords: equations of Fokker-Plank type
zbMATH Keywords: Neumann type boundary conditions
zbMATH Keywords: Wasserstein distance
zbMATH Keywords: maximum principle
MaRDI profile type: Publication
full work available at URL: s00245-004-0801-2
OpenAlex ID: W2004987067
DOI: 10.1007/S00245-004-0801-2
description: scientific article; zbMATH DE number 2135338