Existence theory for Rosseland equation and its homogenized equation |
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| Authors: | , Qiao-fu ZHANG , Jun-zhi CUI |
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| Affiliation: | State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China |
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| Abstract: | ![]()
The global boundness and existence are presented for the kind of the Rosseland equation with a general growth condition. A linearized map in a closed convex set is defined. The image set is precompact, and thus a fixed point exists. A multi-scale expansion method is used to obtain the homogenized equation. This equation satisfies a similar growth condition. |
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| Keywords: | nonlinear elliptic equation fixed point mixed boundary condition growth condition maximal regularity homogenized equation |
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