On a Coupled System of Partial Differential Equations

  • Gottfried Bruckner

    Karl-Weierstraß-Institut für Mathematik, Berlin, Germany
  • Reinhard Kluge

    Karl-Weierstraß-Institut für Mathematik, Berlin, Germany

Abstract

Boundary value problems are considered for a system of stationary partial differential equations that stems from the models describing the implantation of impurities into semiconductor devices and is similar to the equations of carrier transport. The existence of solutions by functional analytic means (energetic method) is proved. Besides, an upper estimate for the set of solutions is obtained.

Cite this article

Gottfried Bruckner, Reinhard Kluge, On a Coupled System of Partial Differential Equations. Z. Anal. Anwend. 6 (1987), no. 2, pp. 133–141

DOI 10.4171/ZAA/236