Obrecht, Enrico Sulle equazioni paraboliche semilineari di ordine arbitrario in uno spazio di Banach. (Italian) Zbl 0411.58006 Rend. Sem. Mat. Univ. Padova 57, 231-246 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 58D25 Equations in function spaces; evolution equations 34K30 Functional-differential equations in abstract spaces 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 58J35 Heat and other parabolic equation methods for PDEs on manifolds Keywords:parabolic semilinear differential equation; Cauchy problem in a Banach space PDFBibTeX XMLCite \textit{E. Obrecht}, Rend. Semin. Mat. Univ. Padova 57, 231--246 (1977; Zbl 0411.58006) Full Text: Numdam EuDML References: [1] J. Dieudonné , Éléments d’Analyse, tome 1, nouvelle édit. , Cahiers Scientifiques , fasc. 28 , Gauthier-Villars , Paris , 1967 . [2] J. Lagnese , On Equations of Evolution and Parabolic Equations of Higher Order in t , J. Math. Anal. Appl. , 32 ( 1970 ), pp. 15 - 37 . MR 267291 | Zbl 0207.14002 · Zbl 0207.14002 · doi:10.1016/0022-247X(70)90316-1 [3] E. Obrecht , Sul problema di Cauchy per le equazioni paraboliche astratte di ordine n , Rend. Sem. Mat. Univ. Padova , 53 ( 1975 ), pp. 231 - 256 . Numdam | MR 419972 | Zbl 0326.34076 · Zbl 0326.34076 [4] A. Pazy , A Class of Semi-Linear Equations of Evolution , Israel J. Math. , 20 ( 1975 ), pp. 23 - 36 . MR 374996 | Zbl 0305.47022 · Zbl 0305.47022 · doi:10.1007/BF02756753 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.