| Title:
|
Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation (English) |
| Author:
|
Aiki, Toyohiko |
| Author:
|
Imai, Hitoshi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
135-153 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B35 |
| MSC:
|
35K55 |
| MSC:
|
35K60 |
| MSC:
|
35R35 |
| idZBL:
|
Zbl 1037.35034 |
| idMR:
|
MR1745468 |
| . |
| Date available:
|
2009-09-24T10:31:08Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127557 |
| . |
| Reference:
|
[Ai] T. Aiki: The existence of solutions to two-phase Stefan problems for nonlinear parabolic equations.Control Cyb. 19 (1990), 41–62. MR 1166228 |
| Reference:
|
[Ai(blow)] T. Aiki: Behavior of free boundaries blow-up solutions to one-phase Stefan problems.Nonlinear Anal. TMA. 26 (1996), 707–723. MR 1362745 |
| Reference:
|
[Ai-Ima] T. Aiki and H. Imai: Behavior of blow-up solutions to one-phase Stefan problems with Dirichlet boundary conditions.Preprint. MR 1462965 |
| Reference:
|
[Ai-Ima(G)] T. Aiki and H. Imai: Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations.Tech. Rep. Math. Sci., Chiba Univ. 11(11) (1995). |
| Reference:
|
[Ai-Ke] T. Aiki and N. Kenmochi: Behavior of solutions to two-phase Stefan problems for nonlinear parabolic equations.Bull. Fac. Education, Chiba Univ. 39 (1991), 15–62. |
| Reference:
|
[Ai-Ima(IFIP)] T. Aiki and H. Imai: Blow-up points to one phase Stefan problems with Dirichlet boundary conditions.Modelling and Optimization of Distributed Parameter Systems, Chapman & Hall, 1996, pp. 83–89. MR 1388520 |
| Reference:
|
[FP] A. Fasano and M. Primicerio: Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions.J. Math. Anal. Appl. 72 (1979), 247–273. MR 0552335, 10.1016/0022-247X(79)90287-7 |
| Reference:
|
[Ke] N. Kenmochi: A new proof of the uniqueness of solutions to two-phase Stefan problems for nonlinear parabolic equations.Free boundary value problems, Proc. Conf., ISNM 95, Birkhäuser, Basel, 1990, pp. 101–126. Zbl 0738.35101, MR 1111025 |
| Reference:
|
[Ke(SPG)] N. Kenmochi: Global existence of solutions of two-phase Stefan problems with nonlinear flux conditions described by time-dependent subdifferentials.Control Cyb. 19 (1990), 7–39. Zbl 0754.35191, MR 1166227 |
| Reference:
|
[LSU] O. A. Ladyženskaja, V. A. Solonnikov and N. N. Ural’ceva: Linear and Quasi-Linear Equations of Parabolic Type.Transl. Math. Monograph 23, Amer. Math. Soc., Providence R. I., 1968. MR 0241821, 10.1090/mmono/023/08 |
| . |
