Explicit periodic solution for the threeparabolic problem in the unbounded strip with boundary conditions of Riquier type

Jan Koroński

doi:10.37705/TechTrans/e2026014

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Explicit periodic solution for the threeparabolic problem in the unbounded strip with boundary conditions of Riquier type

Technical Transactions

Volume 123 (2026): Issue 1 (January 2026)

By: Jan Koroński

Open Access

|Jun 2026

Abstract

The subject of the paper is the construction of an explicit periodic solution to the boundary problem for a nonhomogeneous threeparabolic equations of sixth order considered in the unbounded space-time layer with boundary conditions of Riquier type. To construct the solution we shall apply the convenient heat iterated Green potentials compatible with boundary condition and the threeparabolic potential compatible with source function.

References

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Articles in this issue

DOI: https://doi.org/10.37705/TechTrans/e2026014 | Journal eISSN: 2353-737X | Journal ISSN: 0011-4561

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Language: English

Submitted on: Aug 11, 2021

Accepted on: Mar 18, 2026

Published on: Jun 8, 2026

Published by: Cracow University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

threeparabolic equations,

boundary problem,

periodic solution,

Green function,

iterated Green potentials

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© 2026 Jan Koroński, published by Cracow University of Technology
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 123 (2026): Issue 1 (January 2026)