caa a22 4500 605515026 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00205-014-0818-x doi (NATIONALLICENCE)springer-10.1007/s00205-014-0818-x Uniform Lipschitz Estimates in Bumpy Half-Spaces [Elektronische Daten] [Carlos Kenig, Christophe Prange] This paper is devoted to the proof of uniform Hölder and Lipschitz estimates close to oscillating boundaries, for divergence form elliptic systems with periodically oscillating coefficients. Our main point is that no structure is assumed on the oscillations of the boundary. In particular, those oscillations are neither periodic, nor quasiperiodic, nor stationary ergodic. We investigate the consequences of our estimates on the large scales of Green and Poisson kernels. Our work opens the door to the use of potential theoretic methods in problems concerned with oscillating boundaries, which is an area of active research. Springer-Verlag Berlin Heidelberg, 2014 Kenig Carlos The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA aut Prange Christophe The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 703-765 0003-9527 216:3<703 2015 216 205 https://doi.org/10.1007/s00205-014-0818-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0818-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kenig Carlos The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA aut NATIONALLICENCE 700 1- Prange Christophe The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 703-765 0003-9527 216:3<703 2015 216 205