scholarly journals Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
El Mustapha Ait Ben Hassi ◽  
◽  
Salah-Eddine Chorfi ◽  
Lahcen Maniar ◽  
Omar Oukdach
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Inverse Source Problem ◽  
Lipschitz Stability ◽  
Dynamic Boundary Conditions ◽  
Dynamic Boundary

scholarly journals An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
El Mustapha Ait Ben Hassi ◽  
Salah-Eddine Chorfi ◽  
Lahcen Maniar
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Parabolic Equations ◽  
Stability Result ◽  
Stability Estimate ◽  
Lipschitz Stability ◽  
Dynamic Boundary Conditions ◽  
Logarithmic Convexity ◽  
Dynamic Boundary ◽  
Logarithmic Stability

Abstract We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for the relevant potentials using a recent Carleman estimate, and a logarithmic stability result for the initial temperatures by a logarithmic convexity method, based on observations in an arbitrary subdomain.

scholarly journals Null controllability for parabolic equations with dynamic boundary conditions

2017 ◽  
Vol 6 (3) ◽  
pp. 381-407 ◽  
Author(s):  
Lahcen Maniar ◽  
◽  
Martin Meyries ◽  
Roland Schnaubelt ◽  
◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Null Controllability ◽  
Dynamic Boundary Conditions ◽  
Dynamic Boundary
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