Asymptotic Behavior of Elementary Solutions of One-Dimensional Generalized Diffusion Equations
Minami, Nariyuki ; Ogura, Yukio ; Tomisaki, Matsuyo
Ann. Probab., Tome 13 (1985) no. 4, p. 698-715 / Harvested from Project Euclid
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We give the asymptotic estimate for large $t$ of elementary solutions of one-dimensional generalized diffusion equations with regularly varying Green functions. As a corollary we obtain the precise asymptotic behavior of the semigroup $T_tf(x)$ for all $f \in L_1(dm)$ if the speed measure function $m(x)$ is regularly varying as $x \rightarrow \pm \infty$.
Publié le : 1985-08-14
Classification:  Diffusion equations,  elementary solutions,  asymptotic behavior,  60J60,  60J15,  60J70 
@article{1176992904,
     author = {Minami, Nariyuki and Ogura, Yukio and Tomisaki, Matsuyo},
     title = {Asymptotic Behavior of Elementary Solutions of One-Dimensional Generalized Diffusion Equations},
     journal = {Ann. Probab.},
     volume = {13},
     number = {4},
     year = {1985},
     pages = { 698-715},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992904}
}

Minami, Nariyuki; Ogura, Yukio; Tomisaki, Matsuyo. Asymptotic Behavior of Elementary Solutions of One-Dimensional Generalized Diffusion Equations. Ann. Probab., Tome 13 (1985) no. 4, pp.  698-715. http://gdmltest.u-ga.fr/item/1176992904/