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

      Shaimardan, Serikbol; Persson, Lars-Erik; Tokmagambetov, Niyaz (Journal article; Tidsskriftartikkel; Peer reviewed, 2023)
      In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we considern on-homogenous heat and wave equations for Rubin’s difference operator. Wellposedness 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 ...