TY - BOOK AU - Bramson,Maury TI - Convergence of solutions of the Kolmogorov equation to travelling waves T2 - Memoirs of the American Mathematical Society, SN - 9781470406950 (online) AV - QA3QA274.75 .A57 no. 285 U1 - 510 s519.2/33 19 PY - 1983/// CY - Providence, R.I. PB - American Mathematical Society KW - Diffusion processes KW - Brownian motion processes KW - Differential equations, Parabolic KW - Numerical solutions N1 - "July 1983."; Bibliography: p. 189-190; 1. Introduction; 2. Some properties of Brownian motion and Brownian bridge; 3. Basic properties of the Kolmogorov equation; 4. Asymptotic behavior of the Kolmogorov equation under full heating; 5. Convergence of the Kolmogorov equation in the case $\lambda > 2^{1/2}$; 6. Hitting probabilities for Brownian bridge; 7. Estimates for the Kolmogorov equation in the case $\lambda = 2^{1/2}$; 8. Convergence of the Kolmogorov equation in the case $\lambda = 2^{1/2}$ for finite initial mass; 9. Convergence of the Kolmogorov equation in the case $\lambda = 2^{1/2}$ for infinite initial mass; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0285 UR - http://dx.doi.org/10.1090/memo/0285 ER -