Homogenization of boundary value problems for monotone operators in perforated domains with rapidly oscillating boundary conditions of fourier type |
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Authors: | A Piatnitski V Rybalko |
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Institution: | 1.Narvik University College,Narvik,Norway;2.P. N. Lebedev Physical Institute of RAS,Moscow,Russia;3.B. Verkin Institute for Low Temperature Physics and Engineering,Kharkov,Ukraine |
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Abstract: | We deal with homogenization problem for nonlinear elliptic and parabolic equations in a periodically perforated domain, a
nonlinear Fourier boundary conditions being imposed on the perforation border. Under the assumptions that the studied differential
equation satisfies monotonicity and 2-growth conditions and that the coefficient of the boundary operator is centered at each
level set of unknown function, we show that the problem under consideration admits homogenization and derive the effective
model. Bibliography: 24 titles. |
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Keywords: | |
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