The stability of the boundary in a Stefan problem

J. R. Cannon; Jim Jr Douglas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1967)

  • Volume: 21, Issue: 1, page 83-91
  • ISSN: 0391-173X

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Cannon, J. R., and Douglas, Jim Jr. "The stability of the boundary in a Stefan problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.1 (1967): 83-91. <http://eudml.org/doc/83412>.

@article{Cannon1967,
author = {Cannon, J. R., Douglas, Jim Jr},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {1},
pages = {83-91},
publisher = {Scuola normale superiore},
title = {The stability of the boundary in a Stefan problem},
url = {http://eudml.org/doc/83412},
volume = {21},
year = {1967},
}

TY - JOUR
AU - Cannon, J. R.
AU - Douglas, Jim Jr
TI - The stability of the boundary in a Stefan problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1967
PB - Scuola normale superiore
VL - 21
IS - 1
SP - 83
EP - 91
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83412
ER -

References

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  1. 1 Cannon, J.R., A priori estimate for continuation of the solution of the heat equation in the space variable, Annali di Matematica, ser. 4, 65 (1964) 377-387. Zbl0131.32202MR168936
  2. 2 Douglas, J., A uniqueness theorem for the solution of a Stefan problem, Proc. Amer. Math. Soc.8 (1957) 402-408. Zbl0077.40504MR92086
  3. 3 Douglas, J., and Gallie, T.M., On the numerical soliation of a parabolic differential equation subject to a moving boundary condition, Duke Math. J.22 (1955) 557-572. Zbl0066.10503MR78755
  4. 4 Friedman, A., Free boundary problems for parabolic equations. I, Melting of solids, J. Math. Mech.8 (1959) 499-518. Zbl0089.07801MR144078
  5. 5 Friedman, A., Remarks on Stefan-type free boundary problems for parabolic eqications, J. Math. Mech.9 (1960) 885-903. Zbl0099.07902MR144081
  6. 6 Friedman, A., Partial Differential Equations of Parabolic Type, Prentice-Hall. Inc., Englewood Cliffs, N. J., 1964. Zbl0144.34903MR181836
  7. 7 Kyner, W.T., An existence and uniqueness theorem for a non-linear Stefan problem, J. Math. Mech.8 (1959) 483-498. Zbl0087.09301MR144082

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