论文信息 - Statistical mechanics of nonlinear wave equations

Statistical mechanics of nonlinear wave equations

AbstractThe recurrences of initial states for nonlinear wave equations of the form $$\sqrt Q + f(Q) = 0$$ with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

H. McKean | K. Vaninsky | H. P. McKean | K. L. Vaninsky

[1] H. McKean. The sine‐gordon and sinh‐gordon equations on the circle , 1981 .

[2] Paul R. Chernoff,et al. Note on product formulas for operator semigroups , 1968 .

[3] S. Vladut,et al. Number of points of an algebraic curve , 1983 .

[4] P. Levy,et al. Calcul des Probabilites , 1926, The Mathematical Gazette.

[5] Leonid Friedlander. An invariant measure for the equationutt−uxx+u3=0 , 1985 .

[6] W. T. Martin,et al. Transformations of Wiener integrals under a general class of linear transformations , 1945 .

[7] A. Erdélyi,et al. Tables of integral transforms , 1955 .

[8] H. Poincaré. Calcul des Probabilités , 1912 .

[9] H. McKean,et al. Diffusion processes and their sample paths , 1996 .