# Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation

Czechoslovak Mathematical Journal (2000)

- Volume: 50, Issue: 1, page 135-153
- ISSN: 0011-4642

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topAiki, Toyohiko, and Imai, Hitoshi. "Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation." Czechoslovak Mathematical Journal 50.1 (2000): 135-153. <http://eudml.org/doc/30550>.

@article{Aiki2000,

author = {Aiki, Toyohiko, Imai, Hitoshi},

journal = {Czechoslovak Mathematical Journal},

keywords = {free boundary; global solution; stability},

language = {eng},

number = {1},

pages = {135-153},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation},

url = {http://eudml.org/doc/30550},

volume = {50},

year = {2000},

}

TY - JOUR

AU - Aiki, Toyohiko

AU - Imai, Hitoshi

TI - Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation

JO - Czechoslovak Mathematical Journal

PY - 2000

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 50

IS - 1

SP - 135

EP - 153

LA - eng

KW - free boundary; global solution; stability

UR - http://eudml.org/doc/30550

ER -

## References

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- Behavior of blow-up solutions to one-phase Stefan problems with Dirichlet boundary conditions, Preprint. MR1462965
- Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations, Tech. Rep. Math. Sci., Chiba Univ. 11(11) (1995). (1995)
- Behavior of solutions to two-phase Stefan problems for nonlinear parabolic equations, Bull. Fac. Education, Chiba Univ. 39 (1991), 15–62. (1991)
- 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. (1996) MR1388520
- 10.1016/0022-247X(79)90287-7, J. Math. Anal. Appl. 72 (1979), 247–273. (1979) MR0552335DOI10.1016/0022-247X(79)90287-7
- 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. (1990) Zbl0738.35101MR1111025
- Global existence of solutions of two-phase Stefan problems with nonlinear flux conditions described by time-dependent subdifferentials, Control Cyb. 19 (1990), 7–39. (1990) Zbl0754.35191MR1166227
- Linear and Quasi-Linear Equations of Parabolic Type, Transl. Math. Monograph 23, Amer. Math. Soc., Providence R. I., 1968. (1968) MR0241821

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