The solution operator for a partial differential equation with delay

Gabriella Di Blasio; Karl Kunisch; Eugenio Sinestrari

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 74, Issue: 4, page 228-233
  • ISSN: 1120-6330

How to cite

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Di Blasio, Gabriella, Kunisch, Karl, and Sinestrari, Eugenio. "The solution operator for a partial differential equation with delay." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 74.4 (1983): 228-233. <http://eudml.org/doc/287273>.

@article{DiBlasio1983,
author = {Di Blasio, Gabriella, Kunisch, Karl, Sinestrari, Eugenio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {global existence; uniqueness; Hilbert; semigroup},
language = {eng},
month = {4},
number = {4},
pages = {228-233},
publisher = {Accademia Nazionale dei Lincei},
title = {The solution operator for a partial differential equation with delay},
url = {http://eudml.org/doc/287273},
volume = {74},
year = {1983},
}

TY - JOUR
AU - Di Blasio, Gabriella
AU - Kunisch, Karl
AU - Sinestrari, Eugenio
TI - The solution operator for a partial differential equation with delay
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/4//
PB - Accademia Nazionale dei Lincei
VL - 74
IS - 4
SP - 228
EP - 233
LA - eng
KW - global existence; uniqueness; Hilbert; semigroup
UR - http://eudml.org/doc/287273
ER -

References

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  1. Ardito, A. and Ricciardi, P. (1980) - Existence and regularity for delay partial differential equations. «Nonlinear Analysis T.M.A.», 4, 411-414. Zbl0433.35066MR563819DOI10.1016/0362-546X(80)90064-4
  2. Butzer, P.L. and Berens, H. (1967) - Semigroups of operators and approximation. Springer Verlag, Berlin. Zbl0164.43702
  3. Davies, E.B. (1980) - One-parameter semigroups. Academic Press, London. Zbl0457.47030MR591851
  4. Di Blasio, G. (1981) - The linear quadratic optimal control problem for delay differential equations. «Rend. Acc. Naz. Lincei», 71. Zbl0518.49002MR703215
  5. Kato, T. (1980) - Perturbation theory for linear operators. Springer Verlag, Berlin. Zbl0435.47001
  6. Kunisch, K. and Schappacher, W. - Necessary conditions for partial differential equations with delay to generate c 0 -semigroups (to appear). Zbl0533.35082MR717868DOI10.1016/0022-0396(83)90084-0
  7. Lions, J.L. (1959) - Théorèmes de trace et d'interpolation. «Ann. Scuola Norm. Sup. Pisa», 13, 389-403. Zbl0097.09502MR119092
  8. Lions, J.L. and Magenes, E. (1968) - Problèmes aux limites non homogènes et applications. Dunod, Paris. Zbl0165.10801
  9. Travis, C. and Webb, G. (1976) - Partial differential equations with deviating arguments in the time variable, «Jour. Math. Anal. Appl.», 56, 397-409. Zbl0349.35071MR415102

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