Contents V.1, N.2, 2010

  • ON A NONNEGATIVE SOLUTIONS OF THE HEAT EQUATION WITHSINGULAR POTENTIAL IN THE CONICAL DOMAIN
    B.A. HUDAYKULIYEV (pp. 224-235)

    • Abstract.

    İn this paper we study the behavior of nonnegative solution of the Cauchy-Dirichletproblem for the heat equation with a singular potential in the domain Ων=G∩Bν=G∩Bν(0, r)⊂Rn, n≥3,whereGbe a cone inRnandr < e−1ν.Existence and nonexistence ofnonnegative solutions are analyzed.

    Keywords:

    heat equation, singular potential, nonnegative solution, existence and nonexistence.

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