A comparison of spatial regularization with zero and first order Tikhonov regularization for the inverse problem of electrocardiography

2002 ◽  
Author(s):  
R.D. Throne ◽  
L.G. Olson
Keyword(s):  
Inverse Problem ◽  
Tikhonov Regularization ◽  
First Order ◽  
Inverse Problem Of Electrocardiography ◽  
Spatial Regularization

scholarly journals An inverse problem for a fractional diffusion equation with fractional power type nonlinearities

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Li Li
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Approximation Property ◽  
Fractional Power ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Well Posedness ◽  
Power Type ◽  
First Order ◽  
Dirichlet To Neumann Map

<p style='text-indent:20px;'>We study the well-posedness of a semi-linear fractional diffusion equation and formulate an associated inverse problem. We determine fractional power type nonlinearities from the exterior partial measurements of the Dirichlet-to-Neumann map. Our arguments are based on a first order linearization as well as the parabolic Runge approximation property.</p>

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