Some remarks on time-dependent evolution systems in the hyperbolic case

Silvano Delladio

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 84, page 255-261
  • ISSN: 0041-8994

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Delladio, Silvano. "Some remarks on time-dependent evolution systems in the hyperbolic case." Rendiconti del Seminario Matematico della Università di Padova 84 (1990): 255-261. <http://eudml.org/doc/108202>.

@article{Delladio1990,
author = {Delladio, Silvano},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {regularity of evolution operator; time-dependent Cauchy problem},
language = {eng},
pages = {255-261},
publisher = {Seminario Matematico of the University of Padua},
title = {Some remarks on time-dependent evolution systems in the hyperbolic case},
url = {http://eudml.org/doc/108202},
volume = {84},
year = {1990},
}

TY - JOUR
AU - Delladio, Silvano
TI - Some remarks on time-dependent evolution systems in the hyperbolic case
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 84
SP - 255
EP - 261
LA - eng
KW - regularity of evolution operator; time-dependent Cauchy problem
UR - http://eudml.org/doc/108202
ER -

References

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  1. [1] H. Beirão Da Veiga, Boundary value problem for a class of first order partial differential equations in Sobolev spaces and applications to Euler flow, Rend. Sem. Univ. Padova, 79 (1988), pp. 247-273. Zbl0709.35082MR964034
  2. [2] G. Da Prato - M. Iannelli, On a method for studying abstract evolution equations in the hyperbolic case, Comm. Partial Diff. Eqs., 1 (1976), pp. 585-608. Zbl0358.34063MR442750
  3. [3] G. Da Prato, Equazioni di evoluzione in spazi di Banach, UTM28 (1978), Univ. Trento. 
  4. [4] J.R. Dorroh, A simplified proof of a theorem of Kato on linear evolution equations, J. Math. Soc. Japan, 27 (1975), pp. 474-478. Zbl0297.47037MR380504
  5. [5] T. Kato, Linear evolution equations of « hyperbolic » type, J. Fac. Sc. Univ. Tokyo, 25 (1970), pp. 241-258. Zbl0222.47011MR279626
  6. [6] T. Kato, Linear evolution equations of « hyperbolic » type II, J. Math, Soc. Japan, 25 (1973), pp. 648-666. Zbl0262.34048MR326483
  7. [7] T. Kato, Linear and quasi-linear equations of evolution of hyperbolic type, in: Hyperbolicity, Corso C.I.M.E., II Cielo1976. Zbl0456.35052
  8. [8] T. Kato, On the Kortweg-De Vries equation, Manuscripta Math., 28 (1979), pp. 89-99. Zbl0415.35070
  9. [9] T. Kato, Abstract differential equations and non linear mixed problems, Lezioni Fermiane - Scuola Normale Superiore, Pisa. Zbl0648.35001
  10. [10] A. Pazy, Semigroups of Linear Operators and Applications to Partial, Differential Equations, Springer-Verlag, Berlin (1983). Zbl0516.47023MR710486

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