Some remarks concerning regularity of solutions for abstract differential equations
Zaidman, S.
Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980), p. 47-64 / Harvested from Numdam
Publié le : 1980-01-01
@article{RSMUP_1980__62__47_0,
     author = {Zaidman, Samuel},
     title = {Some remarks concerning regularity of solutions for abstract differential equations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {63},
     year = {1980},
     pages = {47-64},
     mrnumber = {582940},
     zbl = {0439.34050},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1980__62__47_0}
}
Zaidman, S. Some remarks concerning regularity of solutions for abstract differential equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980) pp. 47-64. http://gdmltest.u-ga.fr/item/RSMUP_1980__62__47_0/

[1] S. Agmon - L. NIRENBERG, Properties of solutions of ordinary differential equations in Banach spaces, Comm. Pure Appl. Math., 16, no. 2 (May 1963), pp. 121-239. | MR 155203 | Zbl 0117.10001

[2] V. Barbu, On regularity of weak solutions of abstract differential equations in Hilbert spaces, Acc. Naz. dei Lincei, Rendiconti Classe Scienze, Serie VIII, 45, fasc. 3-4 (1968). | MR 261130 | Zbl 0169.18802

[3] V. Barbu, On the regularity of the weak solutions of abstract differential equations, Osaka J. Math., 6 (1969), pp. 49-56. | MR 259341 | Zbl 0179.47203

[4] A. Friedman, Partial Differential Equations, Holt, Rinehart and Winston Inc., 1969. | MR 445088 | Zbl 0224.35002

[5] A. Friedman, Differentiability of solutions of ordinary differential equations in Hilbert space, Pacific J. Math., 16 (1966), pp. 267-271. | MR 190494 | Zbl 0151.20303

[6] E. Hille - R. S. PHILLIPS, Functional Analysis and Semi-Groups, A.M.S. Colloquium Publ., 1957. | MR 89373 | Zbl 0078.10004

[7] L. Hörmander, Linear Partial Differential Operators (Third revised printing), Springer-Verlag, New York Inc., 1969. | MR 248435

[8] J.L. Lions, Equations differentielles operationnelles et problémes aux limites, Springer-Verlag, Berlin and New York, 1961. | MR 153974 | Zbl 0098.31101

[9] I.P. Natanson, Theory of Functions of a Real Variable (in Russian), Moscow, 1950. | MR 39790

[10] F. Treves, Basic Linear Partial Differential Equations, Academic Press, New York-San Francisco- London, 1975. | MR 447753 | Zbl 0305.35001

[11] K. Yosida, Functional Analysis, Springer-Verlag, 1965.

[12] S. Zaidman, Soluzioni quasi-periodiche per alcune equazioni differenziali in spazi hilbertiani, Ricerche Mat., 13 (1964), pp. 118-134. | MR 166637 | Zbl 0138.39502

[13] S. Zaidman, Equations differentielles abstraites, Les Presses de l'Université de Montréal, Montréal, Québec, 1966. | MR 250129 | Zbl 0143.16604

[14] S. Zaidman, Remarks on regularity theorems for weak solutions of abstract differential equations, Boll. U.M.I. (4), 6 (1972), pp. 55-60. | MR 333392 | Zbl 0297.34062

[15] S. Zaidman, Remarks on weak solutions of differential equations in Banach spaces, Boll. U.M.I. (4), 9 (1974), pp. 638-643. | MR 382810 | Zbl 0323.34059