Abstract semilinear equations 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: 2, page 81-86
  • ISSN: 1120-6330

How to cite

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Sinestrari, Eugenio. "Abstract semilinear equations in Banach spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 70.2 (1981): 81-86. <http://eudml.org/doc/286989>.

@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 = {infinitesimal generator of a holomorphic semigroup; mild solutions; regularity of classical solutions; differential equation},
language = {eng},
month = {2},
number = {2},
pages = {81-86},
publisher = {Accademia Nazionale dei Lincei},
title = {Abstract semilinear equations in Banach spaces},
url = {http://eudml.org/doc/286989},
volume = {70},
year = {1981},
}

TY - JOUR
AU - Sinestrari, Eugenio
TI - Abstract semilinear equations in Banach spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1981/2//
PB - Accademia Nazionale dei Lincei
VL - 70
IS - 2
SP - 81
EP - 86
LA - eng
KW - infinitesimal generator of a holomorphic semigroup; mild solutions; regularity of classical solutions; differential equation
UR - http://eudml.org/doc/286989
ER -

References

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  1. Da Prato, G. (1976) - Applications croissantes et équations d'évolution dans les espaces de Banach, «Academic Press», New York. Zbl0352.47002MR500309
  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 di matematica Pura Appl.», CXX, 329-396. Zbl0471.35036
  4. Martin, R. (1976) - Nonlinear operators and differential equations in Banach spaces. Wiley, New York. 
  5. Sinestrari, E. (1981) - On the solutions of the inhomogeneous evolution equation in Banach spaces, «Rend. Acc. Naz. Lincei», LXX. Zbl0507.47027
  6. Sinestrari, E. and Vernole, P. (1977) - Semilinear evolution equations in interpolation spaces, «Non Linear Anal.», 1, 249-261. Zbl0357.34061

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