|
This article is cited in 2 scientific papers (total in 2 papers)
First order hyperbolic equations with constant operator coefficients
E. A. Fadeeva
Abstract:
This paper considers the Cauchy problem for a hyperbolic equation with constant operator coefficients in Hilbert space:
$$
\frac{\partial\psi}{\partial t}=\sum_{k=1}^n A_k\frac{\partial\psi}{\partial x_k}+B\psi,
$$
where $A_k$ and $B$ are selfadjoint operators and $B$ is semibounded.
As an example we consider ultraparabolic systems.
Bibliography: 10 titles.
Received: 16.03.1973 and 06.08.1973
Citation:
E. A. Fadeeva, “First order hyperbolic equations with constant operator coefficients”, Mat. Sb. (N.S.), 93(135):2 (1974), 254–267; Math. USSR-Sb., 22:2 (1974), 257–270
Linking options:
https://www.mathnet.ru/eng/sm2972https://doi.org/10.1070/SM1974v022n02ABEH002166 https://www.mathnet.ru/eng/sm/v135/i2/p254
|
Statistics & downloads: |
Abstract page: | 525 | Russian version PDF: | 186 | English version PDF: | 9 | References: | 39 |
|