no. 1
The stability of the boundary in a Stefan problem
Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 21 (1967) no. 1, pp. 83-91. 
@article{ASNSP_1967_3_21_1_83_0,
     author = {Cannon, J. R. and Douglas, Jim Jr},
     title = {The stability of the boundary in a {Stefan} problem},
     journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
     pages = {83--91},
     publisher = {Scuola normale superiore},
     volume = {Ser. 3, 21},
     number = {1},
     year = {1967},
     mrnumber = {269998},
     zbl = {0154.36402},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1967_3_21_1_83_0/}
}
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Cannon, J. R.; Douglas, Jim Jr. The stability of the boundary in a Stefan problem. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 21 (1967) no. 1, pp. 83-91. http://archive.numdam.org/item/ASNSP_1967_3_21_1_83_0/

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7 Kyner, W.T., An existence and uniqueness theorem for a non-linear Stefan problem, J. Math. Mech. 8 (1959) 483-498. | MR | Zbl