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

Toyohiko Aiki; Hitoshi Imai

Czechoslovak Mathematical Journal (2000)

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

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Aiki, 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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  1. The existence of solutions to two-phase Stefan problems for nonlinear parabolic equations, Control Cyb. 19 (1990), 41–62. (1990) MR1166228
  2. Behavior of free boundaries blow-up solutions to one-phase Stefan problems, Nonlinear Anal. TMA. 26 (1996), 707–723. (1996) MR1362745
  3. Behavior of blow-up solutions to one-phase Stefan problems with Dirichlet boundary conditions, Preprint. MR1462965
  4. Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations, Tech. Rep. Math. Sci., Chiba Univ. 11(11) (1995). (1995) 
  5. Behavior of solutions to two-phase Stefan problems for nonlinear parabolic equations, Bull. Fac. Education, Chiba Univ. 39 (1991), 15–62. (1991) 
  6. 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
  7. 10.1016/0022-247X(79)90287-7, J. Math. Anal. Appl. 72 (1979), 247–273. (1979) MR0552335DOI10.1016/0022-247X(79)90287-7
  8. 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
  9. 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
  10. 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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