A Stabilization Method for the Tricomi Problem

  • N.A. Lar'kin

    Institute for Theoretical and Applied Mechanics, Novosibirsk, Russian Federation
  • M. Schneider

    Karlsruher Institut für Technologie (KIT), Germany

Abstract

We prove the existence of a generalized solution of the Tricomi problem for the equation , where is a special differential operator and is a constant. Then we show the solvability of an initial boundary value problem for the evolution equation by an aproximation method. It is shown that the generalized solution of the evolution problem converges to the generalized solution of the Tricomi problem as . The rate of convergence is estimated.

Cite this article

N.A. Lar'kin, M. Schneider, A Stabilization Method for the Tricomi Problem. Z. Anal. Anwend. 9 (1990), no. 3, pp. 193–202

DOI 10.4171/ZAA/394