Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces

Autor:	Shaimardan, Serikbol, Persson, Lars-Erik, Tokmagambetov, Niyaz
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference operator. Well-posedness results are obtained in appropriate Sobolev type spaces. In particular, we prove that the heat and wave equations generated by Rubin's difference operator have unique solutions. We even show that these solutions can be represented by explicit formulas
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.07381 Zobrazit plný text záznamu View this record from Arxiv