Parabolic equations of Von Karman type on Kähler manifolds. II. (Q1004524)
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scientific article; zbMATH DE number 5527921
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| English | Parabolic equations of Von Karman type on Kähler manifolds. II. |
scientific article; zbMATH DE number 5527921 |
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Parabolic equations of Von Karman type on Kähler manifolds. II. (English)
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11 March 2009
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The authors complete the study of a parabolic version of a system of Von Karman type on a \(C^\infty\) compact Kähler manifold without boundary of complex dimension \(m,\) initiated in [Bull. Sci. Math. 131, No. 4, 375--396 (2007; Zbl 1123.58014)]. Existence of local in time solutions of minimal regularity is proved. Moreover, the notion of weak solution is defined, and some uniqueness and existence results are given in particular cases when the rate of regularity depends on \(m.\)
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Kähler manifold
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parabolic equation
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elliptic system of Von Karman type
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Sobolev spaces
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a priori estimates
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