Boundary Value Problems for the Heat Equation

Alexey N. Karapetyants and Vladislav V. Kravchenko
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Alexey N. Karapetyants: Southern Federal University, Institute of Mathematics, Mechanics and Computer Sciences and Regional Mathematical Center
Vladislav V. Kravchenko: Cinvestav-IPN, Campus Queretaro, Department of Mathematics

Chapter Chapter 8 in Methods of Mathematical Physics, 2022, pp 185-208 from Springer

Abstract: Abstract One of the aims of this chapter is to prove the uniqueness theorems for some fundamental boundary value problems for the heat equation. Since their proof is based on the maximum (minimum) principle for solutions of the heat equation, we begin by deducing this principle.

Date: 2022
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DOI: 10.1007/978-3-031-17845-0_8

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