Some remarks on time-dependent evolution systems in the hyperbolic case
Delladio, Silvano
Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990), p. 255-261 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1990-01-01
@article{RSMUP_1990__84__255_0,
     author = {Delladio, Silvano},
     title = {Some remarks on time-dependent evolution systems in the hyperbolic case},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {84},
     year = {1990},
     pages = {255-261},
     mrnumber = {1101298},
     zbl = {0756.35046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1990__84__255_0}
}

Delladio, Silvano. Some remarks on time-dependent evolution systems in the hyperbolic case. Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990) pp. 255-261. http://gdmltest.u-ga.fr/item/RSMUP_1990__84__255_0/

[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. | Numdam | MR 964034 | Zbl 0709.35082

[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. | MR 442750 | Zbl 0358.34063

[3] G. Da Prato, Equazioni di evoluzione in spazi di Banach, UTM 28 (1978), Univ. Trento.

[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. | MR 380504 | Zbl 0297.47037

[5] T. Kato, Linear evolution equations of « hyperbolic » type, J. Fac. Sc. Univ. Tokyo, 25 (1970), pp. 241-258. | MR 279626 | Zbl 0222.47011

[6] T. Kato, Linear evolution equations of « hyperbolic » type II, J. Math, Soc. Japan, 25 (1973), pp. 648-666. | MR 326483 | Zbl 0262.34048

[7] T. Kato, Linear and quasi-linear equations of evolution of hyperbolic type, in: Hyperbolicity, Corso C.I.M.E., II Cielo 1976. | Zbl 0456.35052

[8] T. Kato, On the Kortweg-De Vries equation, Manuscripta Math., 28 (1979), pp. 89-99. | Zbl 0415.35070

[9] T. Kato, Abstract differential equations and non linear mixed problems, Lezioni Fermiane - Scuola Normale Superiore, Pisa. | Zbl 0648.35001

[10] A. Pazy, Semigroups of Linear Operators and Applications to Partial, Differential Equations, Springer-Verlag, Berlin (1983). | MR 710486 | Zbl 0516.47023