Uniform Lipschitz Estimates in Bumpy Half-Spaces
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0818-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0818-x | ||
| 245 | 0 | 0 | |a Uniform Lipschitz Estimates in Bumpy Half-Spaces |h [Elektronische Daten] |c [Carlos Kenig, Christophe Prange] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Kenig |D Carlos |u The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA |4 aut | |
| 700 | 1 | |a Prange |D Christophe |u The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 703-765 |x 0003-9527 |q 216:3<703 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0818-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0818-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kenig |D Carlos |u The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Prange |D Christophe |u The University of Chicago, 5734 S. University Avenue, 60637, Chicago, IL, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 703-765 |x 0003-9527 |q 216:3<703 |1 2015 |2 216 |o 205 | ||