Time analyticity for solutions of nonlinear abstract parabolic evolution equations
type: Item
instance of: scholarly article
title: Time analyticity for solutions of nonlinear abstract parabolic evolution equations
zbMATH Open document ID: 0655.35028
DOI: 10.1016/0022-1236(87)90006-1
author: Alessandra Lunardi
published in: Journal of Functional Analysis
publication date: 1987-01-01T00:00:00Z
review text: We study analyticity with respect to time of the solutions to a class of nonlinear evolution equations in Banach space. The results are applied to Cauchy-Dirichlet problems for fully nonlinear parabolic integrodifferential equations such as \[ u_ t(t,x)=f(t,x,u(t,x),\nabla u(t,x),\Delta u(t,x))+\int^{t}_{0}g(t,s,x,u(s,x),\nabla u(s,x),\Delta u(s,x))ds, \] \(t\geq 0\), \(x\in {\bar \Omega}\), where \(\Omega\) is a regular bounded open set in \({\mathbb{R}}^ n\).
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35R20
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 4069417
zbMATH Keywords: analyticity
zbMATH Keywords: nonlinear evolution equations
zbMATH Keywords: Banach space
zbMATH Keywords: Cauchy- Dirichlet problems
zbMATH Keywords: fully nonlinear
zbMATH Keywords: integrodifferential equations
MaRDI profile type: Publication
full work available at URL: 0022-1236(87)90006-1
OpenAlex ID: W1964009044
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description: scientific article; zbMATH DE number 4069417