On the solutions of the inhomogeneous evolution equation in Banach spaces

Eugenio Sinestrari

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1981)

  • Volume: 70, Issue: 1, page 12-17
  • ISSN: 0392-7881

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Sinestrari, Eugenio. "On the solutions of the inhomogeneous evolution equation in Banach spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 70.1 (1981): 12-17. <http://eudml.org/doc/288926>.

@article{Sinestrari1981,
author = {Sinestrari, Eugenio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {1},
number = {1},
pages = {12-17},
publisher = {Accademia Nazionale dei Lincei},
title = {On the solutions of the inhomogeneous evolution equation in Banach spaces},
url = {http://eudml.org/doc/288926},
volume = {70},
year = {1981},
}

TY - JOUR
AU - Sinestrari, Eugenio
TI - On the solutions of the inhomogeneous evolution equation in Banach spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1981/1//
PB - Accademia Nazionale dei Lincei
VL - 70
IS - 1
SP - 12
EP - 17
LA - eng
UR - http://eudml.org/doc/288926
ER -

References

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  1. Butzer, P. and Berens, H. (1967) - Semigroups of operators and approximation. Springer, Berlin. 
  2. Da Prato, G. and Grisvard, P. (1975) - Sommes d'opérateurs linéaires et équations différentielles opérationnelles, «Jour. Math. Pures Appl.», 54, 305-387. Zbl0315.47009
  3. Da Prato, G. and Grisvard, P. (1979) - Equations d'évolution abstraites non linéaires de type parabolique, «Annali Mat. Pura Appl.», CXX, 329-396. Zbl0471.35036
  4. Friedman, A. (1969) - Partial differential equations. Holt, New York. 
  5. Kato, T. (1980) - Perturbation theory for linear operators. Springer, Berlin. 
  6. Martin, R. (1976) - Nonlinear operators and differential equations in Banach spaces. Wiley, New York. 
  7. Pazy, A. (1974) - Semigroups of linear operators and applications to partial differential equations. University of Maryland. 
  8. Sinestrari, E. and Vernole, P. (1977) - Semilinear evolution equations in interpolation spaces, «Non Linear Anal. Th. Meth. Appl.», I, 249-261. Zbl0357.34061
  9. Sinestrari, E. (1980) - Time-dependent integrodifferential equations in Banach spaces, «International Conference on Non Linear Phenomena in Mathematical Sciences». Arlington, Texas. 
  10. Sinestrari, E. (1981) - Abstract semilinear equations in Banach spaces (to appear) Zbl0507.47026
  11. Sobolevski, P.E. (1961) - On equations of parabolic type in a Banach space. Trudy Moscov. Mat. Obsc., 10, 297-350. MR141900

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