Free Access
Issue
RAIRO. Anal. numér.
Volume 11, Number 4, 1977
Page(s) 315 - 340
DOI https://doi.org/10.1051/m2an/1977110403151
Published online 01 February 2017
  1. 1. C. BAIOCCHI and G. A. Pozzi, An évolution variational inequality related toa diffusion-absorption problem, , Appl. Math, and Optim., 2, 1975-1976, pp. 304-314 [MR: 430538] [Zbl: 0379.49014]
  2. 2. A. E. BERGER, The truncation method for the solution of a class of variationalinequalities, R.A.I.R.O. Anal. Numér., 10, 1976, pp. 29-42. [EuDML: 193273] [MR: 455489] [Zbl: 0334.49012]
  3. 3. A. E. BERGER,M. CIMENT and J. C. W. ROGERS, Numerical solution ofa diffusionconsumption problem with a free boundary, S.I.A.M. Journ. Num. Anal., 12, 1975, pp. 646-672. [MR: 383779] [Zbl: 0317.65032]
  4. 4. H. BREZIS, Solutions with compact support of variational inequalities, Uspehi Mat. Nauk SSSR, Vol. 29, 2, 1974, pp. 103-106; English translation: Russian Math, Surveys, Vol. 29, 2, 1974, pp. 103-108. [MR: 481460] [Zbl: 0304.35036]
  5. 5. H. BREZIS and A. FRIEDMAN, Estimates on the support of solution of parabolic variational inequalities, Illinois J. Math., Vol. 20, 1976, pp. 82-97. [MR: 390501] [Zbl: 0316.35046]
  6. 6. J. CRANK, The Mathematics of Diffusion, 2nd éd., Clarendon Press, Oxford, 1975. [MR: 359551] [Zbl: 0427.35035]
  7. 7. J. J. CRANK and R. S. GUPTA, A moving boundary problem arising from diffusion of oxygen in absorbing tissue, J. Inst. Math. Appl., Vol. 10, 1972, pp. 19-33. [MR: 347105] [Zbl: 0247.65064]
  8. 8. J. CRANK and R. S. GUPTA, A method for solving moving boundary problems in heat flow using cubic splines or polynomials, J. Inst. Math. Appl., Vol. 10, 1972, pp. 296-304. [MR: 347105] [Zbl: 0299.65049]
  9. 9. G. DUVAUT, Problèmes à frontière libre en théorie des milieux continus, I.R.I.A., Rapport de Recherche N° 185, 1976.
  10. 10. G. DUVAUT and J. L. LIONS, Les Inéquations en Mécanique et en Physique, Dunod, Paris, 1972; English transi.: Springer, Berlin, 1975. [MR: 464857] [Zbl: 0298.73001]
  11. 11. A. FASANO and M. PRIMICERIO, General free-boundary problems for the heat equations; parts I, II, III, J. Math. Anal, and Appl., 57, 1977, pp. 694-723;58, 1977, pp. 202-231; 59, 1977, pp. 1-14. [MR: 487017] [Zbl: 0355.35037]
  12. 12. A. FRIEDMAN, Parabolic variational inequalities in one space dimension and smoothness of the free boundary, J. Funct. Anal., Vol. 18, 1975, pp. 151-176. [MR: 477461] [Zbl: 0295.35045]
  13. 13. E. HANSEN and P. HOUGAARD, Ona moving boundary problem from biomechanic, J. Inst. Maths. Appls, Vol. 13, 1974, pp. 385-398. [Zbl: 0307.45016]
  14. 14. J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod and Gauthier-Villars, Paris, 1969. [MR: 259693] [Zbl: 0189.40603]
  15. 15. J. L. LIONS and E. MAGENES, Problèmes aux limites non homogènes, Vol.I, II,III, Dunod, Paris, 1968-1970; English transi.: Springer, Berlin, 1972. [Zbl: 0165.10801]
  16. 16. J. L. LIONS and G. STAMPACCHIA, Variational inequalities, Comm. Pure Appl.Math., Vol. 20, 1967, pp. 493-519. [MR: 216344] [Zbl: 0152.34601]
  17. 17. E. MAGENES, Topics in parabolic equations: some typical free boundary problems. Proc. of N.A.T.O. Advanced Study Inst. on Boundary value problems for evolution partial differential equations, Liège, September 1976. [MR: 470497] [Zbl: 0366.35001]
  18. 18. M. PRIMICERIO, Problemi a contorno liberoper equazioni délia diffusione, Rend.Sem. Mat. Torino, 32, 1973-1974, pp. 183-206. [MR: 477466] [Zbl: 0307.76048]
  19. 19. A. SCHATZ, Free boundary problems of Stefan type with prescribed flux, J. Math.Anal. Appl., Vol. 28, 1969, pp. 569-580. [MR: 267285] [Zbl: 0271.35038]

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