Probabilistic treatment of the blowing up of solutions for a nonlinear integral equation
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- by Masao Nagasawa and Tunekiti Sirao
- Trans. Amer. Math. Soc. 139 (1969), 301-310
- DOI: https://doi.org/10.1090/S0002-9947-1969-0239379-X
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References
- E. B. Dynkin, Markov processes, Springer, New York, 1965.
- Hiroshi Fujita, On the blowing up of solutions of the Cauchy problem for $u_{t}=\Delta u+u^{1+\alpha }$, J. Fac. Sci. Univ. Tokyo Sect. I 13 (1966), 109–124 (1966). MR 214914
- Nobuyuki Ikeda, Masao Nagasawa, and Shinzo Watanabe, On branching Markov processes, Proc. Japan Acad. 41 (1965), 816–821. MR 202195 —, Foundation of branching Markov processes, Seminar on Probability Vol. 23, 1966. (Japanese)
- Kiyoshi ItĂ´ and Henry P. McKean Jr., Diffusion processes and their sample paths, Die Grundlehren der mathematischen Wissenschaften, Band 125, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-New York, 1965. MR 0199891
- Seizô Itô, On blowing up of solutions of semilinear partial differential equations of parabolic type, Sūgaku 18 (1966), 44–47 (Japanese). MR 219902
- Masao Nagasawa, Construction of branching Markov processes with age and sign, K\B{o}dai Math. Sem. Rep. 20 (1968), 469–508. MR 247677
- Tunekiti Sirao, On signed branching Markov processes with age, Nagoya Math. J. 32 (1968), 155–225. MR 232443, DOI 10.1017/S0027763000026635
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 139 (1969), 301-310
- MSC: Primary 45.30; Secondary 35.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0239379-X
- MathSciNet review: 0239379