Globally strictly convex cost functional for an inverse parabolic problem

TL;DR

This paper introduces a globally strictly convex cost functional for an inverse parabolic problem, utilizing a Carleman Weight Function to improve the problem's solvability.

Contribution

The paper develops a new convex cost functional for inverse parabolic problems based on Carleman weights, enhancing solution stability.

Findings

Constructed a convex cost functional using Carleman weights

Proved global convexity of the functional

Facilitated more reliable inverse problem solutions

Abstract

A coefficient inverse problem for a parabolic equation is considered. Using a Carleman Weight Function, a globally strictly convex cost functional is constructed for this problem.