The equation of evolution in a Banach space
HTML articles powered by AMS MathViewer
- by Joanne Elliott PDF
- Trans. Amer. Math. Soc. 103 (1962), 470-483 Request permission
References
- C. Foiaş, Gh. Gussi, and V. Poenaru, L’étude de l’équation $du/d\tau =A(\tau )u$ pour certaines classes d’opérateurs non bornés de l’espace de Hilbert, Trans. Amer. Math. Soc. 86 (1957), 335–347 (French). MR 92944, DOI 10.1090/S0002-9947-1957-0092944-7
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- Tosio Kato, Integration of the equation of evolution in a Banach space, J. Math. Soc. Japan 5 (1953), 208–234. MR 58861, DOI 10.2969/jmsj/00520208
- R. S. Phillips, Perturbation theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 74 (1953), 199–221. MR 54167, DOI 10.1090/S0002-9947-1953-0054167-3
- Laurent Schwartz, Les équations d’évolution liées au produit de composition, Ann. Inst. Fourier (Grenoble) 2 (1950), 19–49 (1951) (French). MR 43325 D. G. S. Stockton, Singular parabolic differential equations with time dependent coefficients, Brown University thesis, 1958.
- Kôsaku Yosida, On the differentiability and the representation of one-parameter semi-group of linear operators, J. Math. Soc. Japan 1 (1948), 15–21. MR 28537, DOI 10.2969/jmsj/00110015
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 103 (1962), 470-483
- MSC: Primary 34.95; Secondary 47.50
- DOI: https://doi.org/10.1090/S0002-9947-1962-0140955-7
- MathSciNet review: 0140955