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 |
| _version_ | 1798043388445982720 |
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| author | De Silva Daniela Ferrari Fausto Salsa Sandro |
| author_facet | De Silva Daniela Ferrari Fausto Salsa Sandro |
| author_sort | De Silva Daniela |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T22:49:19Z |
| format | Article |
| id | doaj.art-bcb32b2689764cb5bdc9f3cfa99896e4 |
| institution | Directory Open Access Journal |
| issn | 1536-1365 2169-0375 |
| language | English |
| last_indexed | 2024-04-11T22:49:19Z |
| publishDate | 2017-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-bcb32b2689764cb5bdc9f3cfa99896e42022-12-22T03:58:39ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752017-05-0117236938510.1515/ans-2017-0015Two-Phase Free Boundary Problems: From Existence to SmoothnessDe Silva Daniela0Ferrari Fausto1Salsa Sandro2Department of Mathematics, Barnard College, Columbia University, New York, NY 10027, USA Dipartimento di Matematica dell’ Università, Piazza di Porta S. Donato 5, 40126 Bologna, Italy Dipartimento di Matematica del Politecnico, Piazza Leonardo da Vinci 32, 20133 Milano, Italy 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.https://doi.org/10.1515/ans-2017-0015two-phase free boundary problemfree boundary regularityperron solutions, elliptic systems35r65 35j57 35b65 |
| spellingShingle | De Silva Daniela Ferrari Fausto Salsa Sandro Two-Phase Free Boundary Problems: From Existence to Smoothness Advanced Nonlinear Studies two-phase free boundary problem free boundary regularity perron solutions, elliptic systems 35r65 35j57 35b65 |
| title | Two-Phase Free Boundary Problems: From Existence to Smoothness |
| title_full | Two-Phase Free Boundary Problems: From Existence to Smoothness |
| title_fullStr | Two-Phase Free Boundary Problems: From Existence to Smoothness |
| title_full_unstemmed | Two-Phase Free Boundary Problems: From Existence to Smoothness |
| title_short | Two-Phase Free Boundary Problems: From Existence to Smoothness |
| title_sort | two phase free boundary problems from existence to smoothness |
| topic | two-phase free boundary problem free boundary regularity perron solutions, elliptic systems 35r65 35j57 35b65 |
| url | https://doi.org/10.1515/ans-2017-0015 |
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