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 Lincei. Matematica e Applicazioni (1981)

  • Volume: 70, Issue: 1, page 12-17
  • ISSN: 1120-6330

How to cite

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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 Lincei. Matematica e Applicazioni 70.1 (1981): 12-17. <http://eudml.org/doc/286972>.

@article{Sinestrari1981,
author = {Sinestrari, Eugenio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {semilinear evolution equations},
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/286972},
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 Lincei. Matematica e Applicazioni
DA - 1981/1//
PB - Accademia Nazionale dei Lincei
VL - 70
IS - 1
SP - 12
EP - 17
LA - eng
KW - semilinear evolution equations
UR - http://eudml.org/doc/286972
ER -

References

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  1. Butzer, P. and Berens, H. (1967) - Semigroups of operators and approximation. Springer, Berlin. Zbl0164.43702
  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. Zbl0224.35002
  5. Kato, T. (1980) - Perturbation theory for linear operators. Springer, Berlin. Zbl0435.47001
  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. Zbl0516.47023
  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

Citations in EuDML Documents

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  1. Alessandra Lunardi, Characterization of some interpolation spaces (II)
  2. Eugenio Sinestrari, Abstract semilinear equations in Banach spaces
  3. Eugenio Sinestrari, Classical solutions of parabolic equations in Hölder spaces
  4. Paolo Acquistapace, Brunello Terreni, Existence and regularity results for abstract non autonomous parabolic equations
  5. Paolo Acquistapace, Brunello Terreni, Existence and regularity results for abstract non autonomous parabolic equations
  6. Paolo Acquistapace, Brunello Terreni, On the abstract Cauchy problem in the case of constant domains

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