Two-Phase Free Boundary Problems: From Existence to Smoothness
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 ob...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2017-05-01
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Series: | Advanced Nonlinear Studies |
Subjects: | |
Online Access: | https://doi.org/10.1515/ans-2017-0015 |
Summary: | 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. |
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ISSN: | 1536-1365 2169-0375 |