proposition 10.39 Fourier reduction on the line
open in the book ·
parts/02-mathematical-methods/08-pdes.tex:1083
· p. 351
Rests on
- depends_on definition 17.29 Fourier transform; the treatise convention ¶
- depends_on equation 17.38 eq:ft-derivative ¶
- proves proof ch:08-pdes@proof-12 ¶
Supports
-
depends_on
theorem 10.62
The heat kernel
¶
- depends_on proposition 10.63 Infinite propagation speed ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Fourier transform; the treatise convention | declared | parts/02-mathematical-methods/08-pdes.tex:1096 |
depends_on |
→ | eq:ft-derivative | declared | parts/02-mathematical-methods/08-pdes.tex:1096 |
depends_on |
← | The heat kernel | declared | parts/02-mathematical-methods/08-pdes.tex:1705 |
proves |
← | ch:08-pdes@proof-12 | declared | parts/02-mathematical-methods/08-pdes.tex:1099 |