A note on the existence of time periodic solution of a superlinear heat equation. Issue 13 (3rd October 2019)

• Record Type: Journal Article
• Authors: Huang, Haochuan; Yin, Jingxue; Jin, Chunhua
• Is Part Of: Applicable analysis. Volume 98:Issue 13(2019)
• Page Start: 2454
• Page End: 2463
• Publication Date: 2019-10-03
• Subjects: Superlinear -- heat equation -- time periodic solution; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2018.1460818
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: In this paper, we consider the existence of positive periodic solutions for a superlinear heat equation u t - Δ u = a ( t ) u p with 1 < p < p s - 1 and p s being the Sobolev critical exponent, subject to homogeneous Dirichlet boundary condition. We relax the technical assumption on a ( t ) and convex assumption on the domain Ω, which generalizes the previous results.