Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D
classification
🧮 math.AP
keywords
solutionsanisotropicbellmanboundaryequationfreeproblemstwo-phase
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We prove Lipschitz continuity of solutions to a class of rather general two-phase anisotropic free boundary problems in 2D and we classify global solutions. As a consequence, we obtain $C^{2,1}$ regularity of solutions to the Bellman equation in 2D.
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