Abstract evolution equations
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- by Jerome A. Goldstein
- Trans. Amer. Math. Soc. 141 (1969), 159-185
- DOI: https://doi.org/10.1090/S0002-9947-1969-0247524-5
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References
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
- William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0210154
- Avner Friedman, Partial differential equations of parabolic type, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0181836
- 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
- Tosio Kato, On linear differential equations in Banach spaces, Comm. Pure Appl. Math. 9 (1956), 479–486. MR 86986, DOI 10.1002/cpa.3160090319
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
- P. D. Lax and A. N. Milgram, Parabolic equations, Contributions to the theory of partial differential equations, Annals of Mathematics Studies, no. 33, Princeton University Press, Princeton, N.J., 1954, pp. 167–190. MR 0067317
- Edward Nelson, An existence theorem for second order parabolic equations, Trans. Amer. Math. Soc. 88 (1958), 414–429. MR 95341, DOI 10.1090/S0002-9947-1958-0095341-4
- Edward Nelson, Feynman integrals and the Schrödinger equation, J. Mathematical Phys. 5 (1964), 332–343. MR 161189, DOI 10.1063/1.1704124
- H. F. Trotter, On the product of semi-groups of operators, Proc. Amer. Math. Soc. 10 (1959), 545–551. MR 108732, DOI 10.1090/S0002-9939-1959-0108732-6 K. Yosida, Functional analysis, Springer, Berlin, 1965.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 141 (1969), 159-185
- MSC: Primary 47.50; Secondary 34.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0247524-5
- MathSciNet review: 0247524