Estimates of solutions to linear elliptic systems and equations
Banach Center Publications, Tome 27 (1992) no. 1, pp. 45-63
Voir la notice de l'article provenant de 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},
publisher = {mathdoc},
volume = {27},
number = {1},
year = {1992},
doi = {10.4064/-27-1-45-63},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/-27-1-45-63/}
}
TY - JOUR AU - Heinrich Begehr TI - Estimates of solutions to linear elliptic systems and equations JO - Banach Center Publications PY - 1992 SP - 45 EP - 63 VL - 27 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/-27-1-45-63/ DO - 10.4064/-27-1-45-63 LA - en ID - 10_4064__27_1_45_63 ER -
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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