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Abstract: We derive global a priori estimates of weak solutions to secondorder elliptic partial di#erential equations with nonlinear boundary conditions where all the coe#cients are complex-valued functions. In convex domains the a priori bounds depend neither on the domains nor on the boundary conditions. We also consider Robin boundary conditions and deduce the same inequalities. Due to the accuracy of the a priori estimates, these allow one to generalize the shift theorem of smooth domains to that of... (Update)
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BibTeX entry: (Update)
J. Kim and D. Sheen, A priori estimates for elliptic boundary value problems with nonlinear boundary conditions, IMA Preprint Series #1304, IMA, Univ. Minnesota, 1995. http://citeseer.ist.psu.edu/kim95priori.html More
@misc{ kim95priori,
author = "J. Kim and D. Sheen",
title = "A priori estimates for elliptic boundary value problems with nonlinear
boundary conditions",
text = "J. Kim and D. Sheen, A priori estimates for elliptic boundary value problems
with nonlinear boundary conditions, IMA Preprint Series #1304, IMA, Univ.
Minnesota, 1995.",
year = "1995",
url = "citeseer.ist.psu.edu/kim95priori.html" }
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