Existence and regularity results for doubly nonlinear inclusions with nonmonotone perturbation. (March 2015)

• Record Type: Journal Article
• Authors: Peng, Zijia
• Is Part Of: Nonlinear analysis. Volume 115(2015)
• Page Start: 71
• Page End: 88
• Publication Date: 2015-03
• Subjects: Evolution inclusions -- Hemivariational inequality -- Rothe method -- Clarke's generalized gradient -- Pseudomonotone operator; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.12.010
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper deals with a class of nonlinear evolution inclusions arising from enthalpy formulation of heat conduction problems with phase change and nonmonotone source. Using time-discretization technique and monotone operators theory, we show the existence of weak solutions. Then we prove strong convergence of approximate solutions and lift regularity of the weak solutions under appropriate conditions. Moreover, application to physical model described by hemivariational inequality is given.