Abstract
The paper deals with the existence of solutions of some parabolic bilateral problems approximated by the renormalized solutions of some parabolic equations.
The paper deals with the existence of solutions of some parabolic bilateral problems approximated by the renormalized solutions of some parabolic equations.
L. Boccardo, F. Murat, and J.-P. Puel, “Existence of bounded solutions for nonlinear elliptic unilateral problems,” Annali di Matematica Pura ed Applicata, vol. 152, no. 1, pp. 183–196, 1988.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetF. Donati, “A penalty method approach to strong solutions of some nonlinear parabolic unilateral problems,” Nonlinear Analysis, vol. 6, no. 6, pp. 585–597, 1982.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetR. Landes, “On the existence of weak solutions for quasilinear parabolic initial-boundary value problems,” Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, vol. 89, no. 3-4, pp. 217–237, 1981.
View at: Google Scholar | Zentralblatt MATH | MathSciNetR. Landes and V. Mustonen, “A strongly nonlinear parabolic initial-boundary value problem,” Arkiv för Matematik, vol. 25, no. 1, pp. 29–40, 1987.
View at: Google Scholar | Zentralblatt MATH | MathSciNetJ.-L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris; Gauthier-Villars, Paris, 1969.
View at: Zentralblatt MATH | MathSciNetD. Meskine and A. Elmahi, “On the limit of some nonlinear parabolic problems,” Archives of Inequalities and Applications, vol. 2, no. 4, pp. 499–515, 2004.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. C. Palmeri, “Homographic approximation for some nonlinear parabolic unilateral problems,” Journal of Convex Analysis, vol. 7, no. 2, pp. 353–373, 2000.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. Porretta, “Existence results for nonlinear parabolic equations via strong convergence of truncations,” Annali di Matematica Pura ed Applicata, vol. 177, pp. 143–172, 1999.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. Rudd, Nonlinear constrained evolution in Banach spaces, M.S. thesis, University of Utah, Utah, 2003.
M. Rudd, “Weak and strong solvability of parabolic variational inequalities in Banach spaces,” Journal of Evolution Equations, vol. 4, no. 4, pp. 497–517, 2004.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetJ. Simon, “Compact sets in the space ,” Annali di Matematica Pura ed Applicata, vol. 146, no. 1, pp. 65–96, 1987.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet