Using a new method, we generalize the blow up and existence result from P. Baras and J. A. Goldstein (1984, Trans. Amer. Math. Soc. 284, 121-139) to heat equations on the Heisenberg group. In doing so we need to overcome the difficulty that the equation in this case is both degenerate and of variabl
On the Heat Equation with a Time-Dependent Singular Potential
โ Scribed by Archil Gulisashvili
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 276 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0022-1236
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โฆ Synopsis
We prove the existence of the Feynman-Kac propagators for the nonautonomous heat equation and the รฐL p ร L q ร-smoothing theorem for the propagators.
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