On the existence of a “wave operator” for the Boltzmann equation
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- by F. Alberto Grünbaum PDF
- Bull. Amer. Math. Soc. 78 (1972), 759-762
References
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1. C. S. Wang Chang and G. E. Uhlenbeck, The kinetic theory of gases, Studies of Statistical Mechanics, vol. 5, North-Holland, Amsterdam, 1970.
- G. E. Uhlenbeck and G. W. Ford, Lectures in statistical mechanics, Lectures in Applied Mathematics (Proceedings of the Summer Seminar, Boulder, Colorado, vol. 1960, American Mathematical Society, Providence, R.I., 1963. With an appendix on quantum statistics of interacting particles by E. W. Montroll. MR 0151255
- F. Alberto Grünbaum, Linearization for the Boltzmann equation, Trans. Amer. Math. Soc. 165 (1972), 425–449. MR 295718, DOI 10.1090/S0002-9947-1972-0295718-5
- M. Kac, Foundations of kinetic theory, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954–1955, vol. III, University of California Press, Berkeley-Los Angeles, Calif., 1956, pp. 171–197. MR 0084985 5. J. C. Maxwell, Scientific papers, Dover, New York. n. d. 6. I. Talmi, Nuclear spectroscopy with harmonic oscillator wave functions, Helv. Phys. Acta 25 (1952), 185. 7. Z. Alterman, K. Frankowski and C. L. Pekeris, Eigenvalues and eigenfunctions of the linearized Boltzmann collision operator, Astrophys. J. 7 (1962), Suppl. Ser. 291. 8. K. Kumar, Ann. Physics 37 (1966), 113.
- F. Alberto Grünbaum, A property of Legendre polynomials, Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 959–960. MR 267164, DOI 10.1073/pnas.67.2.959
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 759-762
- MSC (1970): Primary 45M05, 47H15, 82A40; Secondary 33A65, 60K35
- DOI: https://doi.org/10.1090/S0002-9904-1972-13021-0
- MathSciNet review: 0309491