Publication Date:
2011
Short description:
Time regularity for solutions of fully nonlinear Parabolic Systems / Fattorusso, Luisa Angela Maria; A., Tarsia. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - 56:12 (special issue)(2011), pp. 1155-1168. [10.1080/17476933.2011.559545]
abstract:
Abstract
Let Ω be a bounded convex open set of n , n ≥ 2, ∂Ω of class C^ 2. We consider the following Cauchy–Dirichlet problem
where f L 2,λ(0, T; L 2(Ω, N )), 0 < λ < 1. F satisfies Campanato's Condition A x and is measurable on Ω × [0, T ]. We show that there exists ϵ that depends on the constants appearing in Condition A x such that for any μ (0, λ] with μ < ϵ, Moreover, if F is continuous on (x, t) then
Let Ω be a bounded convex open set of n , n ≥ 2, ∂Ω of class C^ 2. We consider the following Cauchy–Dirichlet problem
where f L 2,λ(0, T; L 2(Ω, N )), 0 < λ < 1. F satisfies Campanato's Condition A x and is measurable on Ω × [0, T ]. We show that there exists ϵ that depends on the constants appearing in Condition A x such that for any μ (0, λ] with μ < ϵ, Moreover, if F is continuous on (x, t) then
Iris type:
1.1 Articolo in rivista
Keywords:
fully nonlinear parabolic systems; regularity Morrey-Campanato spaces
List of contributors:
Fattorusso, Luisa Angela Maria; A., Tarsia
Published in: