Abstract
In this paper we derive global W1,∞ and piecewise C1,α estimates for solutions to divergence form elliptic equations with piecewise Hölder continuous coefficients. The novelty of these estimates is that, even though they depend on the shape and on the size of the surfaces of discontinuity of the coefficients, they are independent of the distance between these surfaces.
Original language | English (US) |
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Pages (from-to) | 91-151 |
Number of pages | 61 |
Journal | Archive For Rational Mechanics And Analysis |
Volume | 153 |
Issue number | 2 |
DOIs | |
State | Published - Jun 20 2000 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering