Abstract
Starting with the existence and uniqueness result of J.L.Lions for the non-homogenous heat equation with the source term in \(H^{-1}\left(\Omega \right) \), we ppresent existence results for the nonlinear perturbed heat equation via Banach, Schauder and Leray-Schauder principles.
Authors
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Parabolic equation; Nonlinear operator; Sobolev space.
Paper coordinates
R. Precup, The nonlinear heat equation via fixed point principles, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 4 (2006), pp. 3-19.
About this paper
Journal
Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity
Publisher Name
DOI
Print ISSN
1584-4536
Online ISSN
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