Existence of solutions for degenerate parabolic equations with singular terms. (January 2016)

• Record Type: Journal Article
• Authors: Dall'Aglio, Andrea; Orsina, Luigi; Petitta, Francesco
• Is Part Of: Nonlinear analysis. Volume 131(2016)
• Page Start: 273
• Page End: 288
• Publication Date: 2016-01
• Subjects: 35K55 -- 35K65 -- 35K67; Nonlinear parabolic equations -- Singular parabolic equations -- Degenerate parabolic equations; 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.2015.06.030
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we deal with parabolic problems whose simplest model is { u ′ − Δ p u + B | ∇ u | p u = 0 in ( 0, T ) × Ω, u ( 0, x ) = u 0 ( x ) in Ω, u ( t, x ) = 0 on ( 0, T ) × ∂ Ω, where T > 0, N ≥ 2, p > 1, B > 0, and u 0 is a positive function in L ∞ ( Ω ) bounded away from zero.