Zampieri, Giuseppe 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 Rend. Sem. Mat. Univ. Padova 63, 83-87 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents 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 Keywords:existence; real analytic solutions; p-convexity; descent method Citations:Zbl 0452.35089; Zbl 0415.35016; Zbl 0432.35030; Zbl 0449.35066; Zbl 0282.35015; Zbl 0108.093; Zbl 0264.35003; Zbl 0471.35017 PDF BibTeX XML Cite \textit{G. Zampieri}, Rend. Semin. Mat. Univ. Padova 63, 83--87 (1980; Zbl 0499.35021) Full Text: Numdam EuDML OpenURL References: [1] K.G. Andersson , Global solvability of differential equations in the space of real analytic functions , Coll. on Analysis , Rio de Janeiro , 1972 , Analyse fonctionelle , Hermann , 1974 . MR 390466 | Zbl 0307.35017 · Zbl 0307.35017 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.