- Title: Weak solutions of complex Hessian equations on compact Hermitian manifolds - Speaker: Dr. Ngoc Cuong Nguyen (GAIA)- Abstract: This is a joint work with Slawomir Kolodziej. We prove the existence of weak solutions of complex m-Hessian equations on compact Hermitian manifolds for the nonnegative right hand side belonging to L^p, with p>n/m, (n is the dimension of the manifold). For smooth, positive data the equation has been recently solved by Szekelyhidi and Zhang. We also give a stability result for such solutions. - Place: GAIA Seminar Room (# 106, Math Science bldg.) |

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