×

Su certe equazioni astratte ultraparaboliche. (Italian) Zbl 0305.35053

MSC:

35K30 Initial value problems for higher-order parabolic equations
35C05 Solutions to PDEs in closed form
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] J. Dieudonné , Éléments d’analyse , Tome 2 , ed. Gauthier-Villars , 1968 . · Zbl 0189.05501
[2] A. Friedman , Partial differential equations , ed. Holt - Rinehart and Winston , 1969 . MR 445088 | Zbl 0224.35002 · Zbl 0224.35002
[3] I.M. Gelfand - G.E. Shilov , Generalized functions -1-2-3 , ed. Academic Press , 1964 - 67 - 68 . MR 166596 | Zbl 0115.33101 · Zbl 0115.33101
[4] A. Grothendieck , Sur certains espaces de fonctions holomorphes I , J. reine u. ang. Mathematik , 162 ( 1953 ). Article | MR 58865 | Zbl 0051.08704 · Zbl 0051.08704
[5] M.R. Hestenes , Calculus of variations and optimal control theory , ed. J. Wiley , 1966 . MR 203540 | Zbl 0173.35703 · Zbl 0173.35703
[6] E. Hille - R.S. Phillips , Functional analysis and semigroups , ed. AMS , 1957 . Zbl 0078.10004 · Zbl 0078.10004
[7] F. John , Partial differential equations , ed. Springer , 1971 . MR 304828 | Zbl 0209.40001 · Zbl 0209.40001
[8] T. Kato , Perturbation theory for linear operators , ed. Springer , 1966 . Zbl 0148.12601 · Zbl 0148.12601
[9] T. Kato - H. Tanabe , On the abstract evolution equation , Osaka Math. J. , 14 ( 1962 ), pp. 107 - 133 . MR 140954 | Zbl 0106.09302 · Zbl 0106.09302
[10] T. Kato - H. Tanabe , On the analyticity of solution of evolution equations , Osaka J. Math. , 4 ( 1967 ), pp. 1 - 4 . MR 222430 | Zbl 0154.16403 · Zbl 0154.16403
[11] H. Komatsu , Abstract analyticity in time and unique continuation property of solution of a parabolic equation , J. Fac. Sc. Univ. Tokyo , 9 ( 1961 ), pp. 1 - 11 . MR 168937 | Zbl 0100.12101 · Zbl 0100.12101
[12] J.L. Lions , Sur certaines équations différentielles a coefficients opérateurs non bornés , J. Analyse Math. Israel , 6 ( 1958 ), pp. 333 - 355 . MR 125320 | Zbl 0088.33304 · Zbl 0088.33304 · doi:10.1007/BF02790240
[13] J.L. Lions - E. Magenes , Problèmes aux limites non homogènes et applications , vol. 3 , ed. Dunod , 1970 . MR 291887 | Zbl 0197.06701 · Zbl 0197.06701
[14] E.R. Lorch , Spectral theory , ed. Oxford , 1962 . MR 136967 | Zbl 0105.09204 · Zbl 0105.09204
[15] M.N. Rosculet , Contributi allo studio di una equazione alle derivate parziali di tipo parabolico I , Studii si cercetari Matematice , no 2 , Tom 11 ( 1960 ), pp. 337 - 373 .
[16] V.S. Vladimirov - Ju . N. DROžžINOV, Generalized Cauchy problem for an ultraparabolic equation , Izv. Akad. Nauk. , 31 ( 1967 ). MR 226209 | Zbl 0174.42004 · Zbl 0174.42004 · doi:10.1070/IM1967v001n06ABEH000618
[17] K. Yosida , Functional analysis , ed. Springer , 1966 . · Zbl 0152.32102
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.