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Perturbation formula for the two-phase membrane problem
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DOI：10.1186/1687-1847-2011-19.png)
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摘要
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A perturbation formula for the two-phase membrane problem is considered. We perturb the data in the right-hand side of the two-phase equation. The stability of the solution and the free boundary with respect to perturbation in the coefficients and boundary value is shown. Furthermore, continuity and differentiability of the solution with respect to the coefficients are proved.
Keyword:
Free boundary problems
Two-phase membrane
Perturbation
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