Boundary Regularity for Solutions to the Linearized Monge–Ampère Equations
We obtain boundary Hölder gradient estimates and regularity for solutions to the linearized Monge–Ampère equations under natural assumptions on the domain, Monge–Ampère measures and boundary data. Our results are affine invariant analogues of the boundary Hölder gradient estimates of Krylov.
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| Veröffentlicht in: | Archive for rational mechanics and analysis 2013-12, Vol.210 (3), p.813-836 |
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| container_title | Archive for rational mechanics and analysis |
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| creator | Le, N. Q. Savin, O. |
| description | We obtain boundary Hölder gradient estimates and regularity for solutions to the linearized Monge–Ampère equations under natural assumptions on the domain, Monge–Ampère measures and boundary data. Our results are affine invariant analogues of the boundary Hölder gradient estimates of Krylov. |
| doi_str_mv | 10.1007/s00205-013-0653-5 |
| format | Article |
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| subjects | Classical Mechanics Complex Systems Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical |
| title | Boundary Regularity for Solutions to the Linearized Monge–Ampère Equations |
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