The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. (Russian. English summary) Zbl 0702.35070
The authors prove a positive reversibility of elliptic boundary value problem and an exponential time decrease of the corresponding parabolic boundary value problem solution, supposing that the zero-derivative factor near the boundary can assume large negative values as much as one wants.
Reviewer: A.D.Borisenko
MSC:
35J25 | Boundary value problems for second-order elliptic equations |
35K20 | Initial-boundary value problems for second-order parabolic equations |