• Title of article

    Fundamental Solution of the Heat and Schrِdinger Equations with Point Interaction

  • Author/Authors

    Albeverio، نويسنده , , S. and Brzezniak، نويسنده , , Z. and Dabrowski، نويسنده , , L.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1995
  • Pages
    35
  • From page
    220
  • To page
    254
  • Abstract
    We find explicit formulae for the fundamental solution for the heat and time dependent Schrödinger equations with point interaction in dimension n ≤ 3. We discuss in detail the small time asymptotics of these fundamental solutions. The case n = 2 has the peculiarity of involving logarithmic terms in the expansion.
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    1995
  • Journal title
    Journal of Functional Analysis
  • Record number

    1546958