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Remarks on the abstract form of nonlinear Cauchy-Kovalevsky theorems. (English) Zbl 0391.35006


MSC:

35A10 Cauchy-Kovalevskaya theorems
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35G20 Nonlinear higher-order PDEs
34G20 Nonlinear differential equations in abstract spaces
35A35 Theoretical approximation in context of PDEs
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References:

[1] Baouendi M. S., J. Diff. Equ. 22 pp 268– (1976) · Zbl 0344.35012 · doi:10.1016/0022-0396(76)90028-0
[2] Nagumo, Japan J. Math. 18 (1941) pp 47– (41)
[3] Nishida T., To appear in J. Diff. Geometry.
[4] Nirenberg L., J. Diff. Geometry 6 pp 561– (1972)
[5] Ovsjannikov L. V., Sov. Math. Dokl. 12 (5) pp 1497– (1971)
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