Two-Phase Free Boundary Problems: From Existence to Smoothness

Two-Phase Free Boundary Problems: From Existence to Smoothness
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两相自由边界问题:从存在到光滑

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
S. Salsa
S. Salsa
中科院分区:
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文献类型:
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作者:
D. De Silva;F. Ferrari;S. Salsa

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摘要本文描述了我们最近发展的关于带强迫项的椭圆算子控制的两相无边界问题的理论。我们的结果范围从存在粘度解到解和自由边界的光滑性。我们还讨论了一些悬而未决的问题,可能是未来研究的对象。
Abstract We describe the theory we developed in recent times concerning two-phasefree boundary problems governed by elliptic operators with forcing terms.Our results range from existence of viscosity solutions to smoothness ofboth solutions and free boundaries. We also discuss some open questions,possible object of future investigation.