scholarly journals Stability of an inverse source problem for the damped biharmonic plate equation

2021 ◽  
Author(s):  
Peijun Li ◽  
Xiaohua Yao ◽  
Yue Zhao
Keyword(s):  
Inverse Source Problem ◽  
Plate Equation

scholarly journals An Inverse Source Problem for the Generalized Subdiffusion Equation with Nonclassical Boundary Conditions

2021 ◽  
Vol 5 (3) ◽  
pp. 63
Author(s):  
Emilia Bazhlekova
Keyword(s):  
Boundary Conditions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Stability Estimates ◽  
Inverse Source Problem ◽  
Time Data ◽  
Final Time ◽  
Generalized Eigenfunction ◽  
The One ◽  
Initial Boundary Value

An initial-boundary-value problem is considered for the one-dimensional diffusion equation with a general convolutional derivative in time and nonclassical boundary conditions. We are concerned with the inverse source problem of recovery of a space-dependent source term from given final time data. Generalized eigenfunction expansions are used with respect to a biorthogonal pair of bases. Existence, uniqueness and stability estimates in Sobolev spaces are established.

An inverse source problem for pseudo-parabolic equation with Caputo derivative

2021 ◽  
Author(s):  
Le Dinh Long ◽  
Nguyen Hoang Luc ◽  
Salih Tatar ◽  
Dumitru Baleanu ◽  
Nguyen Huu Can
Keyword(s):  
Parabolic Equation ◽  
Caputo Derivative ◽  
Inverse Source Problem
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