A parabolic quasi-variational inequality arising in hydraulics

Avner Friedman; Robert Jensen

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1975)

  • Volume: 2, Issue: 3, page 421-468
  • ISSN: 0391-173X

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Friedman, Avner, and Jensen, Robert. "A parabolic quasi-variational inequality arising in hydraulics." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 2.3 (1975): 421-468. <http://eudml.org/doc/83696>.

@article{Friedman1975,
author = {Friedman, Avner, Jensen, Robert},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3},
pages = {421-468},
publisher = {Scuola normale superiore},
title = {A parabolic quasi-variational inequality arising in hydraulics},
url = {http://eudml.org/doc/83696},
volume = {2},
year = {1975},
}

TY - JOUR
AU - Friedman, Avner
AU - Jensen, Robert
TI - A parabolic quasi-variational inequality arising in hydraulics
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1975
PB - Scuola normale superiore
VL - 2
IS - 3
SP - 421
EP - 468
LA - eng
UR - http://eudml.org/doc/83696
ER -

References

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  1. [1] J. Bear, Dynamics of Fluids in Porous Media, American Elsevier Publishing Company, New York, 1972. Zbl1191.76001
  2. [2] A. Bensoussan - A. Friedman, Nonlinear variational inequalities and differential games with stopping times, J. Funct. Analys., 16 (1974), 305-352. Zbl0297.90120MR354049
  3. [3] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N. J., 1964. Zbl0144.34903MR181836
  4. [4] A. Friedman, Parabolic variational inequalities in one space dimension and smoothness of the free boundary, J. Funct. Analys., 18 (1975), 151-176. Zbl0295.35045MR477461
  5. [5] A. Friedman, A parabolic system of quasi-variational inequalities, to appear. Zbl0354.35045
  6. [6] A. Friedman - D. Kinderlehrer, A class of parabolic quasi-variational inequalities, J. Diff. Eqs., to appear. Zbl0299.35049
  7. [7] R. Jensen, Finite difference approximations to the free boundary of a parabolic variational inequality, to appear. 
  8. [8] O. A. Ladyzhenskaja - V.A. Solonnikov - N.N. Ural'ceva, Linear and Quasi-linear Equations of Parabolic Type, Amer. Math. Soc. Translations, vol. 23, 1968, Providence, R. I. Zbl0174.15403
  9. [9] D. Schaeffer, A new proof of infinite differentiability of the free boundary in the Stefan problem, to appear. MR390499
  10. [10] L. Tartar, Inequations quasi variationelles abstraite, C. R. Acad. Sci. Paris, 278 (1974), 1193-1196. Zbl0334.49003MR344964
  11. [11] P. Van Moerbeke, An optimal stopping problem for linear reward, Acta Math., 132 (1974), 1-41. Zbl0297.60027MR376225

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