Some remarks concerning regularity of solutions for abstract differential equations

S. Zaidman

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 62, page 47-64
  • ISSN: 0041-8994

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Zaidman, S.. "Some remarks concerning regularity of solutions for abstract differential equations." Rendiconti del Seminario Matematico della Università di Padova 62 (1980): 47-64. <http://eudml.org/doc/107757>.

@article{Zaidman1980,
author = {Zaidman, S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {regularity of solutions; Hilbert space; smoothness of weak solutions},
language = {eng},
pages = {47-64},
publisher = {Seminario Matematico of the University of Padua},
title = {Some remarks concerning regularity of solutions for abstract differential equations},
url = {http://eudml.org/doc/107757},
volume = {62},
year = {1980},
}

TY - JOUR
AU - Zaidman, S.
TI - Some remarks concerning regularity of solutions for abstract differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 62
SP - 47
EP - 64
LA - eng
KW - regularity of solutions; Hilbert space; smoothness of weak solutions
UR - http://eudml.org/doc/107757
ER -

References

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  1. [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. Zbl0117.10001MR155203
  2. [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). Zbl0169.18802MR261130
  3. [3] V. Barbu, On the regularity of the weak solutions of abstract differential equations, Osaka J. Math., 6 (1969), pp. 49-56. Zbl0179.47203MR259341
  4. [4] A. Friedman, Partial Differential Equations, Holt, Rinehart and Winston Inc., 1969. Zbl0224.35002MR445088
  5. [5] A. Friedman, Differentiability of solutions of ordinary differential equations in Hilbert space, Pacific J. Math., 16 (1966), pp. 267-271. Zbl0151.20303MR190494
  6. [6] E. Hille - R. S. PHILLIPS, Functional Analysis and Semi-Groups, A.M.S.Colloquium Publ., 1957. Zbl0078.10004MR89373
  7. [7] L. Hörmander, Linear Partial Differential Operators (Third revised printing), Springer-Verlag, New YorkInc., 1969. MR248435
  8. [8] J.L. Lions, Equations differentielles operationnelles et problémes aux limites, Springer-Verlag, Berlin and New York, 1961. Zbl0098.31101MR153974
  9. [9] I.P. Natanson, Theory of Functions of a Real Variable (in Russian), Moscow, 1950. MR39790
  10. [10] F. Treves, Basic Linear Partial Differential Equations, Academic Press, New York-San Francisco- London, 1975. Zbl0305.35001MR447753
  11. [11] K. Yosida, Functional Analysis, Springer-Verlag, 1965. 
  12. [12] S. Zaidman, Soluzioni quasi-periodiche per alcune equazioni differenziali in spazi hilbertiani, Ricerche Mat., 13 (1964), pp. 118-134. Zbl0138.39502MR166637
  13. [13] S. Zaidman, Equations differentielles abstraites, Les Presses de l'Université de Montréal, Montréal, Québec, 1966. Zbl0143.16604MR250129
  14. [14] S. Zaidman, Remarks on regularity theorems for weak solutions of abstract differential equations, Boll. U.M.I. (4), 6 (1972), pp. 55-60. Zbl0297.34062MR333392
  15. [15] S. Zaidman, Remarks on weak solutions of differential equations in Banach spaces, Boll. U.M.I. (4), 9 (1974), pp. 638-643. Zbl0323.34059MR382810

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