|
This article is cited in 7 scientific papers (total in 7 papers)
A complete asymptotic expansion of the spectral function of second order elliptic operators in $\mathbf R^n$
B. R. Vainberg
Abstract:
A complete asymptotic expansion as $\lambda\to\infty$, $|x|,|y|\leqslant b<\infty$ ($b$ arbitrary) is obtained for the spectral function $e_\lambda(x,y)$ of second order elliptic operators in $\mathbf R^n$ satisfying the condition of not being “trapped”, i.e. the requirement that the bicharacteristics issuing from any point extend to infinity.
Bibliography: 17 titles.
Received: 20.04.1983
Citation:
B. R. Vainberg, “A complete asymptotic expansion of the spectral function of second order elliptic operators in $\mathbf R^n$”, Math. USSR-Sb., 51:1 (1985), 191–206
Linking options:
https://www.mathnet.ru/eng/sm1993https://doi.org/10.1070/SM1985v051n01ABEH002854 https://www.mathnet.ru/eng/sm/v165/i2/p195
|
Statistics & downloads: |
Abstract page: | 309 | Russian version PDF: | 96 | English version PDF: | 14 | References: | 49 |
|