Explicit periodic solution for the threeparabolic problem in the unbounded strip with boundary conditions of Riquier type
Autor
Koroński, Jan
Opublikowane w
Technical Transactions
Numeracja
Vol. 123, iss. 1
Data wydania
2026
Miejsce wydania
Warsaw
Wydawca
Sciendo
Sekcja czasopisma
Information and Communication Technology
Język
angielski
ISSN
0011-4561
eISSN
2353-737X
DOI
https://doi.org/10.37705/TechTrans/e2026014
Słowa kluczowe
threeparabolic equations, boundary problem, periodic solution, Green function, iterated Green potentials
Abstrakt
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.
