Journal
RESULTS IN MATHEMATICS
Volume 77, Issue 6, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00025-022-01751-z
Keywords
Linearized parabolic Monge-Ampere equation; global C-1+alpha,C-1+alpha/2 estimates; convex domain
Categories
Funding
- NNSF [11771023]
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In this paper, we establish global C-1+alpha,C-1+alpha/2 estimates for solutions of the linearized parabolic Monge-Ampere equation L(phi)u(x,t):=-u(t)detD(2)phi(x) + tr[(Phi x)D(2)u] = f(x,t) under appropriate conditions on the domain, Monge-Ampere measures, boundary data and f, where Phi:=det(D-2 phi)(D-2 phi)(-1) is the cofactor of the Hessian of D2 phi.
In this paper, we establish global C-1+alpha,C-1+alpha/2 estimates for solutions of the linearized parabolic Monge-Ampere equation L(phi)u(x,t):=-u(t)detD(2)phi(x) + tr[(Phi x)D(2)u] = f(x,t) under appropriate conditions on the domain, Monge-Ampere measures, boundary data and f, where Phi:=det(D-2 phi)(D-2 phi)(-1) is the cofactor of the Hessian of D2 phi.
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