Chapter 3. Identification problems for parabolic equations with Cauchy data

2012 ◽  
Keyword(s):  
Parabolic Equations ◽  
Cauchy Data ◽  
Identification Problems

scholarly journals On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data

2019 ◽  
pp. 298-309
Author(s):  
Igor V. Frolenkov ◽  
Irina S. Antipina ◽  
Natalya M. Terskikh
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Parabolic Equations ◽  
Continuous Dependence ◽  
Cauchy Data ◽  
One Dimensional ◽  
The Cauchy Problem ◽  
Bounded Functions ◽  
Continuous Dependence Of Solutions

We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved

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