The utilization of total mass to determine the switching points in the symmetric boundary control of a diffusion problem

2020/02/04 by Mohamed Salman, Salman, Mohamed
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Geotechnical and Geomechanical Engineering

paper · pdf · doi:10.48550/arxiv.2002.01536

openalex publication_date 2020/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The authors study the problem u_t=u_xx, 00; u(x,0)=0, and u(0,t)=u(1,t)=ψ(t), where ψ(t)=u₀ for t_2k < t

Citations

• Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory

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