Fundamental solutions for Kolmogorov-Fokker-Planck operators with time-depending measurable coefficients
We consider a Kolmogorov-Fokker-Planck operator of the kind: \[ \mathcal{L}u=\sum_{i,j=1}^{q}a_{ij}\left( t\right) \partial_{x_{i}x_{j}} ^{2}u+\sum_{k,j=1}^{N}b_{jk}x_{k}\partial_{x_{j}}u-\partial_{t}u,\qquad (x,t)\in\mathbb{R}^{N+1} \] where $\left\{ a_{ij}\left(t\right) \right\} _{i,j=1}^{q}$ is a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-10-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/mine.2020035/fulltext.html |