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Parabolic equations of Von Karman type on Kähler manifolds, II
Authors:Pascal Cherrier  Albert Milani
Affiliation:a Département de Mathématiques, Université Paris VI, 26, Avenue du Château, 92340 Bourg-la-Reine, France
b Department of Mathematics, University of Wisconsin - Milwaukee, Milwaukee, WI 53201, USA
Abstract:We complete the study of a parabolic version of a system of Von Karman type on a compact Kähler manifold of complex dimension m. We consider a family of problems k(P). We prove existence of local in time solutions when k=0. When −m?k<0, we define a notion of weak solution, and give some uniqueness and existence results.
Keywords:32Q15   35K30   35K55   53B55   58J35
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