Advertisement

Elliptic Problems with “Bad” Coefficients

  • Alois Kutner
  • Anna-Margarete Sändig
Part of the Teubner-Texte zur Mathematik book series (TTZM, volume 100)

Abstract

In the literature, many papers appear which deal with equations of the type defined, say, on the half-space R N + = x = (x1,...,xN), xN > 0, or with equations which can be transformed to the form (*). Usually, the coeffi­cients aα are assumed to have some “good” behaviour (e.g., there exist cons­tants c1, c2 such that 0 <; c1 ≦ aα(x) ≦ a2 < ∞), and the “bad” behaviour is expressed by the term xN ε(α), ε(α) ∈ R. The “complete” coefficient aα(x)xN ε(α) then becomes singular, if ε(α) < 0, or degenerates, if ε(α) > O. Here, the singularity or degeneration is concentrated on the boundaryR N + = = x = (x1,...,xN), xN = 0.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Fachmedien Wiesbaden 1987

Authors and Affiliations

  • Alois Kutner
  • Anna-Margarete Sändig

There are no affiliations available

Personalised recommendations