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A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of \(R^ 2\). (English) Zbl 0499.35021


MSC:

35E10 Convexity properties of solutions to PDEs with constant coefficients
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35A10 Cauchy-Kovalevskaya theorems
32C05 Real-analytic manifolds, real-analytic spaces
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References:

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[2] K.G. Andersson , Propagation of analyticity of solutions of partial differential equations with constant coefficients , Ark. Mat. , 8 ( 1971 ), pp. 277 - 302 . MR 299938 | Zbl 0211.40502 · Zbl 0211.40502
[3] L. Cattabriga , Sull’esistenza di soluzioni analitiche reali di equazioni a derivate parziali a coefficienti costanti , Boll. U.M.I. ( 4 ), 12 ( 1975 ), pp. 221 - 234 . MR 509089 | Zbl 0328.35009 · Zbl 0328.35009
[4] L. Hörmander , Linear partial differential operators , Springer , 1963 . MR 404822 · Zbl 0108.09301
[5] T. Kawai , On the global existence of real analytic solutions of linear differential equations (I) , J. Math. Soc. Japan , 24 ( 1972 ), pp. 481 - 517 . Article | MR 310412 | Zbl 0234.35012 · Zbl 0234.35012
[6] G. Zampieri , On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations , Rend. Sem. Mat. Univ. Padova 62 ( 1980 ). Numdam | MR 582945 | Zbl 0452.35089 · Zbl 0452.35089
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