An approach by difference to a quasi-linear parabolic equation
type: Item
instance of: scholarly article
title: An approach by difference to a quasi-linear parabolic equation
zbMATH Open document ID: 0553.35049
author: Michiaki Watanabe
published in: Proceedings of the Japan Academy. Series A
publication date: 1983-01-01T00:00:00Z
review text: The semigroup associated to the porous media equation is constructed on the space \(L^ 1({\mathbb{R}}^ N)\) by using a strongly continuous cosine family of operators on this space. Formally, this corresponds to the discretization in the spatial variable. The main result provides a numerical approach of such a semigroup.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 3881157
zbMATH Keywords: semigroup
zbMATH Keywords: porous media equation
zbMATH Keywords: cosine family
zbMATH Keywords: numerical approach
reviewed by: Jesus Idelfonso Díaz
MaRDI profile type: Publication
full work available at URL: pjaa.59.375
OpenAlex ID: W2090734949
cites work: Q4073824
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cites work: Ordinary differential equations in linear topological spaces. I
cites work: Q3903316
DOI: 10.3792/PJAA.59.375
description: scientific article; zbMATH DE number 3881157