Advertisement

Laplace’s Equation

  • David Gilbarg
  • Neil S. Trudinger
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 224)

Abstract

Let Ω be a domain in ℝ n and u a C 2(Ω) function. The Laplacian of u, denoted ⊿u, is defined by
$$\Delta u = \sum\limits_{i = 1}^n {{D_u}u = div} Du.$$
(2.1)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • David Gilbarg
    • 1
  • Neil S. Trudinger
    • 2
  1. 1.Department of MathematicsStanford UniversityStanfordUSA
  2. 2.Department of Pure MathematicsAustralian National UniversityCanberraAustralia

Personalised recommendations