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Quasilinear Parabolic Equations and the Ricci Flow on Manifolds with Boundary
Quasilinear Parabolic Equations Ricci Manifolds with Boundary
2011/1/21
The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary @M. We establish a short-time existence theorem for this ...
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
Convergence parabolic complex Monge-Ampère equation compact Hermitian manifolds
2010/12/14
We prove C1 convergence for suitably normalized solutions of the parabolic complex Monge-
Amp`ere equation on compact Hermitian manifolds. This provides a parabolic proof of a recent
result of Tosat...