An inverse problem for pseudoparabolic equation of filtration: the stabilization

Abstract

In this article, the properties of the solution to the inverse problem on the identification of the leading coefficient of the multi-dimensional pseudoparabolic equation are studied. The stabilization of its strong solution to the solution of the inverse problem for an elliptic equation is established.

Keywords:

• filtration
• inverse problems for PDE
• pseudoparabolic equation
• elliptic equation
• stabilization of solutions
• existence and uniqueness theorems

AMS Subject Classifications:

• 35B65
• 35K20
• 35K70
• 35Q35
• 35R30
• 76S05