Problems without initial conditions for degenerating parabolic equations. (English. Russian original) Zbl 0988.35068
Differ. Equ. 36, No. 12, 1876-1878 (2000); translation from Differ. Uravn. 36, No. 12, 1710-1711 (2000).
Introduction: We consider several boundary value problems for parabolic equations with variable direction of time and with piecewise constant coefficients. Solutions of these problems are written out in closed form and illustrate the phenomena occurring in the general case.
MSC:
35K20 | Initial-boundary value problems for second-order parabolic equations |
35K65 | Degenerate parabolic equations |
35C05 | Solutions to PDEs in closed form |