Solutions of a dissipative diffusion equation in a Hilbert space
type: Item
instance of: scholarly article
title: Solutions of a dissipative diffusion equation in a Hilbert space
zbMATH Open document ID: 0542.47039
DOI: 10.1016/0022-247X(83)90082-3
author: Alan P. Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 1983-01-01T00:00:00Z
review text: Il est question de l'équation de diffusion \[ dP(z)/dz=a(z)+b(z)P(z)+P(z)d(z)+P(z)c(z)P(z) \] avec \(P(x)=k\), où a,b,c,d,k sont des opérateurs linéaires bornés dans un espace d'Hilbert. L'auteur prend en considération pour les systèmes J- dissipatif (notion pour la quelle on renvoi au mémoire en question) les solution globales, la longueur critique et le plus grand intervalle d'existence des solutions.
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 3861867
reviewed by: Silvio Cinquini
MaRDI profile type: Publication
cites work: A theoretical result on the effectiveness of the addition formulae for two-point boundary systems
cites work: An invariant imbedding algorithm for the solution of inhomogeneous linear two-point boundary value problems
cites work: Calculation of Eigenfunctions in the Context of Integration-to-Blowup
cites work: Some Aspects of Oscillation and Boundary Problem Theory for Hamiltonian Systems in a $B^ * $-Algebra
cites work: Dissipative properties of a nonlinear differential operators equation
cites work: On the Relation of Transmission-Line Theory to Scattering and Transfer
cites work: Q3233325
cites work: Quasi-linearization of a general self-adjoint Riccati equation
cites work: Existence and uniqueness theorems in invariant imbedding. I: Conservation principles
cites work: Initial value methods for boundary value problems. Theory and application of invariant imbedding
cites work: Q5736371
description: scientific article; zbMATH DE number 3861867