Quasi-spectral decomposition of the heat potential
In this article, by multiplying of the unitary operator $$ (Pf)(x,t)=f(x,T-t),\quad 0\leq t\leq T, $$ 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 he...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/76/abstr.html |
| Summary: | In this article, by multiplying of the unitary operator
$$
(Pf)(x,t)=f(x,T-t),\quad 0\leq t\leq T,
$$
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. |
|---|---|
| ISSN: | 1072-6691 |