Nonstationary Heat Equation with Nonlinear Side Condition
The initial boundary value problem for the nonstationary heat equation is studied in a bounded domain with the specific overdetermination condition. This condition is nonlinear and can be interpreted as the energy functional. In present paper we construct the class of solutions to this problem.
Authors
- Kristina Kaulakytė
- Gintaras Puriuškis (ORCID: https://orcid.org/0009-0001-4723-1928)
- Tomas Belickas (ORCID: https://orcid.org/0009-0001-1473-3067)
Institutions
- Vilnius University (LT)
Publication Details
- Journal
- Mathematical Modelling and Analysis
- Published
- 2025-01-27
- DOI
- https://doi.org/10.3846/mma.2025.20204
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Lietuvos Mokslo Taryba