Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/10462
Title: Fokas method for linear boundary value problems involving mixed spatial derivatives
Authors: Batal, Ahmet
Fokas, A. S.
Özsarı, Türker
Keywords: Fokas method
Unified transform method
Mixed derivatives
Analyticity issues
Publisher: Royal Society of Chemistry
Abstract: We obtain solution representation formulae for some linear initial boundary value problems posed on the half space that involve mixed spatial derivative terms via the unified transform method (UTM), also known as the Fokas method. We first implement the method on the second-order parabolic PDEs; in this case one can alternatively eliminate the mixed derivatives by a linear change of variables. Then, we employ the method to biharmonic problems, where it is not possible to eliminate the cross term via a linear change of variables. A basic ingredient of the UTM is the use of certain invariant maps. It is shown here that these maps are well defined provided that certain analyticity issues are appropriately addressed.
URI: https://doi.org/10.1098/rspa.2020.0076
https://hdl.handle.net/10462
ISSN: 1364-5021
1471-2946
Appears in Collections:Mathematics / Matematik
PubMed İndeksli Yayınlar Koleksiyonu / PubMed Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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