A semilinear heat equation with initial data in negative Sobolev spaces
type: Item
instance of: scholarly article
title: A semilinear heat equation with initial data in negative Sobolev spaces
zbMATH Open document ID: 1458.35229
author: Haruki Umakoshi
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-02-23T00:00:00Z
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K91
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 7314580
zbMATH Keywords: semilinear heat equation
zbMATH Keywords: singular initial data
MaRDI profile type: Publication
full work available at URL: dcdss.2020365
OpenAlex ID: W3024720267
cites work: Non-unicité des solutions d'une équation d'évolution non-linéaire
cites work: Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
cites work: Problems paraboliques semi-lineaires avec donnees measures
cites work: A nonlinear heat equation with singular initial data
cites work: Nonlinear parabolic equations involving measures as initial conditions
cites work: Q4881087
cites work: Q3492189
cites work: Q3916903
cites work: Geometric theory of semilinear parabolic equations
cites work: Q5634306
cites work: Global existence of solutions to an \(n\)-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production
cites work: Global solutions of reaction-diffusion systems
cites work: Q4169289
cites work: Q3886160
cites work: H ∞ Functional Calculus and Characterization of Domains of Fractional Powers
cites work: Abstract Parabolic Evolution Equations and their Applications
DOI: 10.3934/DCDSS.2020365
description: scientific article; zbMATH DE number 7314580