Existence and regularity results of parabolic problems with convection term and singular nonlinearity

  • Mounim El Ouardy

    Sultan Moulay Slimane University, Khouribga, Morocco
  • Youssef El Hadfi

    Sultan Moulay Slimane University, Khouribga, Morocco
  • Abdelaaziz Sbai

    Sultan Moulay Slimane University, Khouribga, Morocco
Existence and regularity results of parabolic problems with convection term and singular nonlinearity cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

In this work, we investigate the influence of the convection term and the singular lower order term on the existence and regularity of solutions to the following parabolic problem:

where , is a bounded smooth domain with , and with is a non-negative function. The function is a non-negative function that belongs to the space such that

The main idea of this research explains the combined impact of the convection term and the singular lower order term on the existence and regularity of a solution to the above problem.

Cite this article

Mounim El Ouardy, Youssef El Hadfi, Abdelaaziz Sbai, Existence and regularity results of parabolic problems with convection term and singular nonlinearity. Z. Anal. Anwend. 43 (2024), no. 3/4, pp. 299–328

DOI 10.4171/ZAA/1769