Nonstationary Heat Equation with Nonlinear Side Condition

The inverse problem for the nonstationary heat equation is studied in a bounded domain with the specific over-determination condition. This condition is nonlinear and can be interpreted as the energy functional. The existence of a very weak solution to this problem is proved.

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Bibliographic Details
Main Authors: Tomas Belickas, Kristina Kaulakytė, Gintaras Puriuškis
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2025-01-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://gc.vgtu.lt/index.php/MMA/article/view/20204
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