Parabolic equations of Von Karman type on Kähler manifolds, II |
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Authors: | Pascal Cherrier Albert Milani |
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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 |
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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. |
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Keywords: | 32Q15 35K30 35K55 53B55 58J35 |
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