Estimates of solutions to linear elliptic systems and equations
Banach Center Publications, Tome 27 (1992) no. 1, pp. 45-63
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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 $ℝ^m$. 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.
@article{10_4064__27_1_45_63,
author = {Heinrich Begehr},
title = {Estimates of solutions to linear elliptic systems and equations},
journal = {Banach Center Publications},
pages = {45--63},
year = {1992},
volume = {27},
number = {1},
doi = {10.4064/-27-1-45-63},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/-27-1-45-63/}
}
Heinrich Begehr. Estimates of solutions to linear elliptic systems and equations. Banach Center Publications, Tome 27 (1992) no. 1, pp. 45-63. doi: 10.4064/-27-1-45-63
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