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Sulle equazioni paraboliche semilineari di ordine arbitrario in uno spazio di Banach. (Italian) Zbl 0411.58006

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
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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
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