Fully non-linear parabolic equations on compact Hermitian manifolds

By Duong H. Phong, Dat T. To. Annales Scientifiques de l'Ecole Normale Supérieure, 2017

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A notion of parabolic C-subsolutions is introduced for parabolic equations, extending the theory of C-subsolutions recently developed by B. Guan and more specifically G. Sz\'ekelyhidi for elliptic equations. The resulting parabolic theory provides a convenient unified approach for the study of many geometric flows.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/78863ffa17b91782aec41b5eb0cf39188a0b336e