Article PDF
References
Fox, R.F., Uhlenbeck, G.E.: Contributions to the Theory of Non-Equilibrium Thermodynamics I and II. Phys. Fluids 13, 1893–1902 and 2881–2890 (1970)
Goldstein, J.: Semigroups of Operators and Abstract Cauchy Problems. New Orleans: Tulane University Department of Mathematics 1970
Grünbaum, F. Alberto: Propagation of chaos for the Boltzman Equation. Arch. Rational Mech. Anal. 42, 323–345 (1971)
Kac, M: Foundations of Kinetic Theory. In: Proc. 3rd Berkeley Sympos. Math. Statist. Probab., III, 171–197, Univ. of Calif. Press (1956)
Kac, M.: Some Probabilistic Aspects of the Boltzman Equation. In: The Boltzman Equation, Theory and Applications. Acta Phys. Austraila Suppl. X, ed. Cohen and Thirring, eds. (1973)
Kato, T.: Perturbation Theory for Linear Operators. Berlin, Heidelberg, New York: Springer 1966
Trotter, H.: Approximation of Semigroups of Operators. Pacific J. Math. 8, 887–919 (1958)
Author information
Authors and Affiliations
Additional information
The author wishes to thank his thesis advisor, Professor Henry P. McKean, Jr., who provided invaluable aid during all stages of this work.
Rights and permissions
About this article
Cite this article
Berresford, G.C. A class of nonlinear partial differential equations and the associated Markov processes. Z. Wahrscheinlichkeitstheorie verw Gebiete 33, 237–251 (1976). https://doi.org/10.1007/BF00534776
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00534776