A stefan/mullins-sekerka type problem with memory

Journal of Integral Equations and Applications

Volumn 9, Issue 2, 1997, Pages 113-141

  Novick Cohen, A ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 66149093188     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181076000     Document Type: Article

References (15)

1. R.A. Adams, Sobolev spaces, Academic Press, New York, 1975.
2. S. Aizicovici and V. Barbu, Existence and asymptotic behavior for a system of integro-partial differential equations, NoDEA 3 (1996), 1-18.
3. J.M. Chadam and H.M. Yin, Two phase Stefan problems in materials with memory, Pitman Res. Notes Math. Ser. 281 (1993), 117-123.
4. P. Colli and M. Grasselli, An existence result for a hyperbolic phase transition problem with memory, Appl. Math. Lett. 5 (1992), 99-102.
5. P. Colli and M. Grasselli, Phase transition problems in materials with memory, J. Integral Equations Appl. 5 (1993), 1-22.
6. E. Giusti, Minimal surfaces and functions of bounded variation, Birkhauser, Boston, 1984.
7. A. Novick-Cohen, Conserved phase-field equations with memory, in Curvature flows and related topics (A. Damlamian, J. Spruck and A. Visintin, eds.), Gakko-tosho, Tokyo, 1995.
8. J. Pruss, Evolutionary integral equations and applications, Birkhauser, Boston, 1993.
9. R.E. Showalter and N.J. Walkington, A hyperbolic Stefan problem, Quart. Appl. Math. 45 (1987), 769-781.
10. J. Simon, Compact sets in the space Lp(0,T;B), Ann. Math. Pura Appl. 146 (1987), 65-96.
11. O.J. Staffans, On a nonlinear hyperbolic Volterra equation, SIAM J. Math. Anal. 11 (1980), 793-813.
12. A. Visintin, Stefan problem with phase relaxation, IMA J. Appl. Math. 34 (1985), 225-245.
13. A. Visintin, Stefan problem with surface tension, in Mathematical models for phase change problems (J.F. Rodrigues, ed.), Birkhauser, Boston, 1988.
14. E. Zeidler, Nonlinear functional analysis and its applications III, Springer Verlag, New York, 1984.
15. W.P. Zeimer, Weakly differentiable functions, Springer Verlag, New York, 1989