Blar i tittel Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag)

Viser treff 160-161 av 161

    • Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces 

      Lukkassen, Dag; Persson, Lars Erik; Samko, Stefan; Wall, Peter (Journal article; Peer reviewed; Tidsskriftartikkel, 2013)
      We study the p(.) -> q(.) boundedness of weighted multidimensional Hardy-type operators H-w(alpha(.)) and H-w(alpha(.)) of variable order alpha(x), with radial weight w(vertical bar x vertical bar), from a variable exponent locally generalized Morrey space L-p(.),L-phi(.)(R-n, w) to another L-q(.),L-psi(.)(R-n, w). The exponents are assumed to satisfy the decay condition at the origin and infinity. ...

    • 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 ...