We describe the theory we developed in recent times concerning two-phase free boundary problems governed by elliptic operators with forcing terms. Our results range from existence of viscosity solutions to smoothness of both solutions and free boundaries. We also discuss some open questions, possible object of future investigation.
De Silva, D., Ferrari, F., Salsa, S. (2017). Two-Phase Free Boundary Problems: From Existence to Smoothness. ADVANCED NONLINEAR STUDIES, 17(2), 369-385 [10.1515/ans-2017-0015].
Two-Phase Free Boundary Problems: From Existence to Smoothness
FERRARI, FAUSTO;
2017
Abstract
We describe the theory we developed in recent times concerning two-phase free boundary problems governed by elliptic operators with forcing terms. Our results range from existence of viscosity solutions to smoothness of both solutions and free boundaries. We also discuss some open questions, possible object of future investigation.File in questo prodotto:
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