Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients |
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| Authors: | Yan Yan Li Michael Vogelius |
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| Institution: | (1) Department of Mathematics Rutgers University New Brunswick NJ 08903, USA e-mail: yyli@math.rutgers.edu; vogelius@math.rutgers.edu, US |
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| Abstract: | In this paper we derive global W
1,∞ and piecewise C
1,α estimates for solutions to divergence form elliptic equations with piecewise H?lder 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.
Accepted: June 8, 1999 |
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| Keywords: | |
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