Abstract
The aim of this paper is to study the initial boundary problem where Ω is a bounded regular open domain in ℝN (N ≥ 1), Γ = ∂Ω, ν is the outward normal to Ω, and k < 0. In particular we prove that the problem is ill-posed when N ≥ 2, while it is well-posed in dimension N = 1. Moreover we carefully study the case when Ω is a ball in ℝN. As a byproduct we give several results on the elliptic eigenvalue problem
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
