Loading...
Please wait, while we are loading the content...
Similar Documents
Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder ’ s estimates for a degenerate parabolic problem with dynamic boundary conditions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bazaliy, Borys V. |
| Copyright Year | 2015 |
| Abstract | We consider multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type in classes of smooth functions. First we find a natural Hölder class for the Dirichlet boundary conditions in the initial boundary boundary problem for a degenerate parabolic equation of second order. This class then is used to obtain the Schauder estimates for a degenerate parabolic equation with dynamic boundary conditions. As a result we prove the existence locally in time of a smooth solution for Stefan problem for degenerate parabolic equations. Mathematics Subject Classification (2010). Primary 35R35; Secondary 35K65, 35R37, 35K60. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://rd.springer.com/content/pdf/10.1007/s00030-014-0280-3.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
