An a priori bound for the Cauchy problem in Banach space

Ada Ardito; Paolo Ricciardi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 56, Issue: 4, page 473-481
  • ISSN: 0392-7881

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Ardito, Ada, and Ricciardi, Paolo. "An a priori bound for the Cauchy problem in Banach space." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 56.4 (1974): 473-481. <http://eudml.org/doc/293694>.

@article{Ardito1974,
author = {Ardito, Ada, Ricciardi, Paolo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {473-481},
publisher = {Accademia Nazionale dei Lincei},
title = {An a priori bound for the Cauchy problem in Banach space},
url = {http://eudml.org/doc/293694},
volume = {56},
year = {1974},
}

TY - JOUR
AU - Ardito, Ada
AU - Ricciardi, Paolo
TI - An a priori bound for the Cauchy problem in Banach space
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/4//
PB - Accademia Nazionale dei Lincei
VL - 56
IS - 4
SP - 473
EP - 481
LA - eng
UR - http://eudml.org/doc/293694
ER -

References

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  1. BROWDER, F. (1968) - Non linear operators and non linear equations of evolution in Banach spaces, Proc. Symposium on non linear Functional AnalysisChicago. 
  2. DA PRATO, G. (1971) - Somme d'applications non-linéaires, «Ist. Naz. Alta Mat. Roma Symp. Math.», 7. MR333862
  3. DA PRATO, G. (1972-73) - Seminari di Analisi non lineare, «Ist. Mat. G. Castelnuovo», Roma. 
  4. DA PRATO, G. (1973) - Quelques résultats d'existence unicité et régularité pour un problème de la théorie du controle, «J. Math, pures et appl.», 53. Zbl0289.93027MR358430
  5. IANNELLI, M. (1970) - A note on some non-linear non contraction semigroups, «Boll. U.M.I.», 6, 1015-1025. Zbl0207.14001MR276822
  6. IANNELLI, M. (1970) - On certain classes of semi-linear evolution systems (in press). 
  7. KATO, T. (1965) - Non linear evolution equations in Banach spaces, «Proc. Symp. Appl. Math.», 17, 50-67. MR184099
  8. LADAS, G. and LAKSHMIKANTHAM, V. (1972) - Differential Equations in Abstract Spaces, Academic Press-New-York. Zbl0257.34002MR460832
  9. LIONS, J. L. (1969) - Quelques Méthodes de résolution dés problèmes aux limites non linéaires, Dunod, Paris. MR259693
  10. MARTIN, R. H. (1973) - Liapunov functions and autonomous differential equations in a Banach space, «Math. Systems Theory», 7, 66-72. MR322301DOI10.1007/BF01824808
  11. RICCIARDI, P. and TUBARO, L. (1973) - Local existence for differential equations in Banach space, «Boll. U.M.I.», 8 (4), 306-316. Zbl0297.34060MR333387
  12. SEGAL, I. E. (1963) - Non linear semigroups, «Ann. of Math.», 78, 2 sett. 1963. MR152908DOI10.2307/1970347
  13. TEMAM, R. (1969) - Sur la résolution exacte et approchée d'un problème hyperbolique non linéaire de T. Carleman, «Arch. Rational Mech. Anal.», 35, 5, 351-362. Zbl0189.10504MR251376DOI10.1007/BF00247682

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