scholarly journals Solvability problem for strong-nonlinear nondiagonal parabolic system

2002 ◽  
Vol 127 (2) ◽  
pp. 131-138
Author(s):  
A. A. Arkhipova
Keyword(s):  
Parabolic System ◽  
Solvability Problem ◽  
Nondiagonal Parabolic System

Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Mohammed Alaoui ◽  
Abdelkarim Hajjaj ◽  
Lahcen Maniar ◽  
Jawad Salhi
Keyword(s):  
Boundary Conditions ◽  
Parabolic System ◽  
Source Term ◽  
Neumann Boundary ◽  
Stability Estimate ◽  
Carleman Estimates ◽  
Well Posedness ◽  
Degenerate Diffusion ◽  
Neumann Type ◽  
Lower Order Terms

AbstractIn this paper, we study an inverse source problem for a degenerate and singular parabolic system where the boundary conditions are of Neumann type. We consider a problem with degenerate diffusion coefficients and singular lower-order terms, both vanishing at an interior point of the space domain. In particular, we address the question of well-posedness of the problem, and then we prove a stability estimate of Lipschitz type in determining the source term by data of only one component. Our method is based on Carleman estimates, cut-off procedures and a reflection technique.

Simultaneous and non-simultaneous quenching for coupled parabolic system

2014 ◽  
Vol 94 (2) ◽  
pp. 233-250
Author(s):  
Rui Hong Ji ◽  
Cheng Yuan Qu ◽  
Li Dong Wang
Keyword(s):  
Parabolic System
Sign in / Sign up

Export Citation Format

Share Document