Trapping regions for discontinuously coupled systems of evolution variational inequalities and application
type: Item
instance of: scholarly article
title: Trapping regions for discontinuously coupled systems of evolution variational inequalities and application
zbMATH Open document ID: 1026.35058
DOI: 10.1016/S0022-247X(03)00130-6
author: S. Heikkilä
author: S. Carl
author: Joseph W. Jerome
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: The authors consider initial-boundary value problems for weakly coupled systems of parabolic equations under coupled nonlinear flux boundary conditions, and with both coupling vector fields possibly discontinuous. Using some comparison techniques and fixed point results in ordered Banach spaces, an existence result for the problem is obtained.
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1956927
zbMATH Keywords: coupled nonlinear flux boundary conditions
zbMATH Keywords: systems of parabolic equations
zbMATH Keywords: fixed point theorem
zbMATH Keywords: comparison techniques
reviewed by: Leszek Gasiński
MaRDI profile type: Publication
cites work: Q4039969
cites work: Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions
cites work: Q4492741
cites work: Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type
cites work: Variational methods for non-differentiable functionals and their applications to partial differential equations
cites work: A trapping principle for discontinuous elliptic systems of mixed monotone type
cites work: Q4332942
cites work: Q3995594
cites work: Q3706043
Recommended article: Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type
Recommended article: Variational approach to noncoercive systems of elliptic variational inequalities via trapping region†
Recommended article: A trapping principle for discontinuous elliptic systems of mixed monotone type
Recommended article: Q5146223
Recommended article: Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions
Recommended article: Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials
Recommended article: Addendum to: Variational approach to noncoercive systems of elliptic variational inequalities via trapping region
Recommended article: Equilibrium versions of variational principles in quasi-metric spaces and the robust trap problem
Recommended article: Solution bounds, stability, and estimation of trapping/stability regions of some nonlinear time-varying systems
Recommended article: Coupled systems of nonlinear variational inequalities and applications
description: scientific article; zbMATH DE number 1956927