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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

On the nature of weak solutions and some abstract Cauchy problems

Author(s): Robert Carroll
Journal: Bull. Amer. Math. Soc. 72 (1966), 1068-1072.
MathSciNet review: 0201855
Retrieve article in: PDF

References | Additional information

References:

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F. Browder, Non-linear initial value problems, Ann. of Math. 82 (1965), 51-87. MR 208113
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R. Carroll, On the structure of some abstract differential problems, Ann. Mat. Pura Appl. 72 (1966), 305-318. MR 216305
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R. Carroll, On the propagator equation, (to appear). MR 213689
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R. Carroll, Problems on linked operators. I, II, Math. Ann. 151 (1963), 272-282; 160 (1965), 233-256.
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J. Dixmier, Les algébres d'opèrateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1957. MR 94722
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T. Kato, Non-linear evolution equations in Banach spaces, Proc. Sympos. Appl. Math. Vol. 17, Amer. Math. Soc. Providence, R. I., 1965, pp. 50-67. MR 184099
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T. Kato and H. Tanabe, On the abstract evolution equation, Osaka Math. J. 14 (1962), 107-133. MR 140954
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J. L. Lions, Equations différentielles-opérationnelles. Springer, Berlin, 1961. MR 153974
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J. L. Lions, Equations differentielles-operationelles dans les espaces de Hilbert, CIME, Varenna, 1963.
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E. Poulsen, Evolutionsgleichungen in Banach-Räumen, Math. Z., 90 (1965), 286-309. MR 186952
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L. Schwartz, Sous-espaces Hilbertiens d'espaces vectoriels topologiques et noyaux associés (noyaux reproduisants), J. Analyse Math. 13 (1964), 115-256. MR 179587
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Additional Information:

DOI: 10.1090/S0002-9904-1966-11648-8
PII: S 0002-9904(1966)11648-8




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