SMOOTH APPROXIMATION FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS
نویسندگان
چکیده
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15 صفحه اولSmooth approximations to solutions of nonconvex fully nonlinear elliptic equations
We show that fully nonlinear elliptic PDEs (which may not have classical solutions) can be approximated with integro-differential equations which have C solutions. For these approximated equation we prove a uniform C estimate. We also study the rate of convergence.
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ژورنال
عنوان ژورنال: Vestnik of Samara University. Natural Science Series
سال: 2017
ISSN: 2541-7525
DOI: 10.18287/2541-7525-2011-17-8-21-28