The Showalter-Sidorov problem as a phenomena of the Sobolev-type equations. (Russian. English summary) Zbl 1260.35074
This article has a survey character. It contains: 1. The Showalter approach, 2. The Sidorov approach, 3. Applications of the Showalter-Sidorov problem, 4. A generalization of the Showalter-Sidorov problem.
MSC:
| 35K70 | Ultraparabolic equations, pseudoparabolic equations, etc. |
| 35-02 | Research exposition (monographs, survey articles) pertaining to partial differential equations |
| 35K15 | Initial value problems for second-order parabolic equations |
| 35K90 | Abstract parabolic equations |
