Linear second order differential equations with discontinuous coefficients in Hilbert spaces

Luciano De Simon; Giovanni Torelli

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1974)

  • Volume: 1, Issue: 1-2, page 131-154
  • ISSN: 0391-173X

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De Simon, Luciano, and Torelli, Giovanni. "Linear second order differential equations with discontinuous coefficients in Hilbert spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 1.1-2 (1974): 131-154. <http://eudml.org/doc/83669>.

@article{DeSimon1974,
author = {De Simon, Luciano, Torelli, Giovanni},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1-2},
pages = {131-154},
publisher = {Scuola normale superiore},
title = {Linear second order differential equations with discontinuous coefficients in Hilbert spaces},
url = {http://eudml.org/doc/83669},
volume = {1},
year = {1974},
}

TY - JOUR
AU - De Simon, Luciano
AU - Torelli, Giovanni
TI - Linear second order differential equations with discontinuous coefficients in Hilbert spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1974
PB - Scuola normale superiore
VL - 1
IS - 1-2
SP - 131
EP - 154
LA - eng
UR - http://eudml.org/doc/83669
ER -

References

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  1. [1] C. Baiocchi, Soluzioni ordinarie e generalizzate del problema di Cauchy per equazioni differenziali astratte lineari del secondo ordine in spazi di Hilbert, Ricerche di matematica, Vol.XVI (1967), pp. 27-95. Zbl0157.21602MR226229
  2. [2] Hille-Phillips, Functional analysis and semigroups, Am. Math. Soc. Coll. Publ. (1957). Zbl0078.10004
  3. [3] Hurd-Sattinger, Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients, Transactions A.M.S., Vol. 132 (1968), pp. 159-174. Zbl0155.16401MR222457
  4. [4] J.L. Lions, Equations différentielles operationnelles et problèmes aux limitesSpringer (1961). Zbl0098.31101MR153974
  5. [5] J.L. Lions, Equations dilférentielles operationnelles dans les espaces de Hilbert In « Equazioni differenziali astratte » 1° Ciclo C.I.M.E., 1963, Ediz. Cremonese, Roma. Zbl0178.50704
  6. [6] Riesz-Nagy, Leçons d'analyse fonctionnelle, Akadémiai Kiadò, Szeged, Budapest. Zbl0122.11205
  7. [7] G. Torelli, Un complemento ad un teorema di J. L. Lions sulle equazioni differenziali astratte del secondo ordine, Rend. Sem. Mat. Univ. di Padova, 34 (1964), pp. 224-241. Zbl0197.12201MR173175

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