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A necessary condition for the well-posedness of the Cauchy problem for a certain class of evolution equations. (English) Zbl 0308.35061

MSC:
35K25 Higher-order parabolic equations
35R25 Ill-posed problems for PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B45 A priori estimates in context of PDEs
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[1] S. Mizohata: Some remarks on the Cauchy problem. J. Math. Kyoto Univ., 1, 109-127 (1962). · Zbl 0104.31903
[2] S. Mizohata: Theory of Partial Differential Equations (in Japanese). Iwanami (1965). (English translation, Cambridge Univ. Press, 1973.) · Zbl 0263.35001
[3] I. G. Petrowsky: Uber das Cauchysche Problem fiir ein System linearer partieller Differentielgleichungen im Gebiete der nichtanalytischen Funktionen. Bull. Univ. Etat Moscou, 1, 1-74 (1938). · Zbl 0024.03702
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