• Title of article

    Kernel sections for non-autonomous strongly damped wave equations

  • Author/Authors

    Shengfan Zhou، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2002
  • Pages
    20
  • From page
    850
  • To page
    869
  • Abstract
    We prove the existence of compact kernel sections for the process generated by a non-autonomous strongly damped wave equation with homogeneous Dirichlet boundary condition. We show that the upper bound of the Hausdorff dimension of sections decreases as the damping grows for large strong damping.  2002 Elsevier Science (USA). All rights reserved.
  • Keywords
    wave equation , Kernel section , Hausdorff dimension , equivalent norm
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2002
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    930280