Asymptotic Behavior of Elementary Solutions of One-Dimensional Generalized Diffusion Equations
Asymptotic Behavior of Elementary Solutions of One-Dimensional Generalized Diffusion Equations
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一维广义扩散方程初等解的渐近行为
DOI：
10.1214/aop/1176992904
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发表时间：
1985
影响因子：
2.3
通讯作者：
M. Tomisaki
中科院分区：
文献类型：
--
作者：
Nariyuki Minami;Y. Ogura;M. Tomisaki
对于所有 f E Lj(dm)，其中 dm(x) 是速度度量。作为副产品，我们还将注意到，如果 L(t) 收敛到正常数 t -oo，则 (1.4) 和 (1.5) 对于 p = 1 仍然有效。实际上，我们对这个主题的第一个兴趣是受到物理学家 Masuo Suzuki 的启发，他给出了统计物理学中的长时尾现象的 (1.5)（[12] 和 [13]，也参见 [2] 和 [7]）。我们的结果严格验证了他的结果
for all f E Lj(dm), where dm(x) is the speed measure. As a by-product, we will also note that (1.4) and (1.5) remain valid for p = 1 if L(t) converges to a positive constant as t -oo. Actually our first interest in this subject was inspired by a physicist, Masuo Suzuki, who gave (1.5) for long-time tail phenomena in statistical physics ([12] and [13], also cf. [2] and [7]). Our results here verify his results rigorously as far