Berechet, Oprea Sur le problème de Cauchy pour les opérateurs partiellement multiquasi- elliptiques. (French) Zbl 0445.35047 Rend. Sem. Mat. Univ. Padova 61, 1-11 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35J99 Elliptic equations and elliptic systems 65H10 Numerical computation of solutions to systems of equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:Cauchy problem; quasielliptic operator; hypoelliptic operator; semielliptic operator; solvability Citations:Zbl 0404.35025 PDFBibTeX XMLCite \textit{O. Berechet}, Rend. Semin. Mat. Univ. Padova 61, 1--11 (1979; Zbl 0445.35047) Full Text: Numdam EuDML References: [1] J. Friberg , Principal parts and canonical factorizations of hypoelliptic polynomials in two variables , Rend. Sem. Mat. Univ. Padova , 37 ( 1967 ), pp. 112 - 132 . Numdam | MR 212339 | Zbl 0168.07802 · Zbl 0168.07802 [2] J. Friberg , Multi-quasielliptic polinomials , Ann. Scuola Norm. Sup. Pisa , 21 ( 1967 ), pp. 239 - 260 . Numdam | MR 221090 | Zbl 0161.07803 · Zbl 0161.07803 [3] L. Gårding - B. MALGRANGE, Opérateurs diffèrentiels partiellement hypoelliptiques et partiellement elliptiques , Math. Scand. , 9 ( 1961 ), pp. 5 - 21 . MR 126070 | Zbl 0108.10101 · Zbl 0108.10101 [4] E. Gorine , Equations différentielles partiellement hypoelliptiques à coefficients constants (en russe) , Sibirski Mat. J. , 3 ( 1962 ), pp. 500 - 526 . [5] V. Grouchine , Une conexion entre propriétés locales et globales des opérateurs hypoelliptiques à coefficients constants (en russe) , Mat. Sbornik 66 , 4 ( 1965 ), pp. 525 - 550 . [6] L. Hörmander , Linear partial differential operators , Springer , 1963 . MR 404822 · Zbl 0108.09301 [7] V.P. Palamodov , Opérateurs différentiels linéaires à coefficients constants (en russe), Moscou , 1967 . [8] O. Berechet , Le problème de Cauchy pour opérateurs partiellement semielliptiques, a paraître dans Rend. Sem. Mat. Univ. Padova , 57 ( 1977 ). Numdam | MR 526195 | Zbl 0404.35025 · Zbl 0404.35025 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.