Solvability and blow-up of the weak solution for a semi-linear Bessel problem with Neumann integral condition
by Dehilis Sofiane   Taki Eddine Oussaeif   Chebana Zainouba  

Vol. 17 No. 4 (2022) P.439~P.475

DOI:	https://doi.org/10.21915/BIMAS.2022405
	10.21915/BIMAS.2022405

ABSTRACT

Under the consideration that the non-local condition has a spatial impact to the study of the boundary values problems, we present a study of the existence and uniqueness of weak solution for nonlinear parabolic Bessel problem with Neumann integral conditions, in addition to part devoted to the proof of the finite time blow up solutions. Actually, in the case p ? 1, sufficient conditions of blow up of solutions can be established by Kaplan’s method backed by the numerical results.

KEYWORDS
Bessel operator, energy inequality, parabolic equation, integral condition, blow up solutions, numerical simulation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35K58, 35K61, 35B45, 35A01, 35A02

MILESTONES

Received: 2022-07-29
Revised :
Accepted:

Download Full Content