Nonexistence results for systems of parabolic differential inequalities in 2D exterior domains

Article type: Research Article

Authors: Jleli, Mohamed | Samet, Bessem^{; *}

Affiliations: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia. E-mails: [email protected], [email protected]

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: In this paper, we study, for the first time, the nonexistence of solutions to systems of parabolic differential inequalities in 2D exterior domains with Dirichlet and Neumann boundary conditions. Our obtained results complete those derived recently by Yuhua Sun [Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of RN, Pacific Journal of Mathematics. 293(1) (2018) 245–256] in the N-dimensional case, N⩾3, under Dirichlet boundary condition.

Keywords: Noexistence, systems of parabolic differential inequalities, 2D exterior domain

DOI: 10.3233/ASY-181506

Journal: Asymptotic Analysis, vol. 113, no. 1-2, pp. 29-49, 2019