Quasi-spectral decomposition of the heat potential
Date
2016-03-17
Authors
Kal'menov, Tynysbek
Arepova, Gaukhar
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, by multiplying of the unitary operator
(Pƒ) (x,t) = ƒ(x, T - t), 0 ≤ t ≤ T,
the heat potential turns into a self-adjoint operator. From the spectral decomposition of this completely continuous self-adjoint operator we obtain a quasi-spectral decomposition of the heat potential operator.
Description
Keywords
Heat potential, Quasi-spectral decomposition, Self-adjoint operator, Unitary operator, The fundamental solution
Citation
Kal'menov, T. S., & Arepova, G. D. (2016). Quasi-spectral decomposition of the heat potential. <i>Electronic Journal of Differential Equations, 2016</i>(76), pp. 1-4.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.