Fully non-linear parabolic equations on compact Hermitian manifolds
D. H. Phong, Dat Tô
Abstract
A notion of parabolic C-subsolutions is introduced for parabolic equations,\nextending the theory of C-subsolutions recently developed by B. Guan and more\nspecifically G. Sz\\'ekelyhidi for elliptic equations. The resulting parabolic\ntheory provides a convenient unified approach for the study of many geometric\nflows.\n
Topics & Concepts
MathematicsParabolic partial differential equationGuanHermitian matrixMathematical analysisPure mathematicsPartial differential equationGeologyPaleontologyGeometry and complex manifoldsGeometric Analysis and Curvature FlowsAlgebraic Geometry and Number Theory