Abstract
We introduce multi-weighted parabolic operators and show that the class of such operators is closed under compositions. We prove the solvability of initial-value problems for multi-weighted parabolic equations in anisotropic Sobolev-Slobodetsky spaces and also for multi-weighted parabolic systems that are simultaneously multi-order systems relative to the spatial variables. Bibliography: 15 titles.
| Original language | English |
|---|---|
| Pages (from-to) | 267-282 |
| Number of pages | 16 |
| Journal | Journal of Mathematical Sciences (United States) |
| Volume | 193 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 2013 |
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Applied Mathematics
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