Inverse Problems for Abstract Differential Equations and Inclusions
Santosh Ruhil (IIT Mandi)
| Speaker |
Santosh Ruhil (IIT Mandi)
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|---|---|
| When |
Jun 11, 2025
from 11:00 AM to 12:00 PM |
| Where | Via zoom |
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NPDF POST-DOCTORAL CANDIDATE TALK
Title: Inverse Problems for Abstract Differential Equations and Inclusions
Abstract: This talk will focus on inverse problems for a class of second-order abstract differential equations and semilinear differential inclusions in Banach spaces. In the first part, I will address the existence and uniqueness of solutions to a second-order abstract differential equation under two distinct frameworks based on the regularity of the input data. For the case of regular data, a direct analytical approach is employed, while for irregular data, an optimal control framework is developed to establish well-posedness. In the second part, I will consider an inverse problem associated with a semilinear differential inclusion. I will present existence results and analyze the continuous dependence of solutions on the given data, ensuring the stability of the inverse problem formulation. These results contribute to the broader theory of inverse problems in abstract settings, with potential implications for applications involving uncertainty and multivalued dynamics.
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https://zoom.us/j/91379437570?pwd=XU3ZLsabzO3Z4tXwzABdnzZYFSwgWV.1 Meeting ID: 913 7943 7570 Passcode: 397959 |