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Title

Estimates of solutions to linear elliptic systems and equations

Authors 1

Affiliations

  1. I. Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, D-1000 Berlin 33, Germany

Abstract

Whenever nonlinear problems have to be solved through approximation methods by solving related linear problems a priori estimates are very useful. In the following this kind of estimates are presented for a variety of equations related to generalized first order Beltrami systems in the plane and for second order elliptic equations in ℝm. Different types of boundary value problems are considered. For Beltrami systems these are the Riemann-Hilbert, the Riemann and the Poincaré problem, while for elliptic equations the Dirichlet problem as well as entire solutions are involved.

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Banach Center Publications
1992/27/1
Export to PBN, Opens in new tab
Pages:
45-63
Main language of publication
English
Published
1992
Exact and natural sciences