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Problème de Cauchy pour opérateurs locaux, et ’changement de temps’. (French) Zbl 0303.35007


MSC:

35B25 Singular perturbations in context of PDEs
35G10 Initial value problems for linear higher-order PDEs
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References:

[1] J. DORROH, Contraction semi-groups in a function space, Pacific J. Math., 19 (1966), 35-38. · Zbl 0143.16504
[2] F. HIRSCH, Familles résolvantes, générateurs, cogénérateurs, potentiels, Ann. Inst. Fourier, 22 (1972), 89-210. · Zbl 0219.31015
[3] F. HIRSCH, Intégrales de résolvantes et calcul symbolique, Ann. Inst. Fourier, 22 (1972), 239-264. · Zbl 0235.47007
[4] G. LUMER, Perturbations de générateurs infinitésimaux, du type «changement de temps», Ann. Inst. Fourier, 23, 4 (1974), 271-279. · Zbl 0263.47035
[5] G. LUMER and R. S. PHILLIPS, Dissipative operators in a Banach space, Pacific J. Math., 11 (1961), 679-698. · Zbl 0101.09503
[6] N. Ya. VILENKIN (et autres), Functional analysis, Wolters-Noordhoff Publishing, Groningen (The Netherlands), 1972.
[7] K. YOSIDA, Functional analysis, 3rd ed. 1971, 4th ed., 1974, Springer-Verlag, Berlin-Heidelberg-New York. · Zbl 0217.16001
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