Isoperimetric inequalities in parabolic equations

J. Mossino; J. M. Rakotoson

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 1, page 51-73
  • ISSN: 0391-173X

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Mossino, J., and Rakotoson, J. M.. "Isoperimetric inequalities in parabolic equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.1 (1986): 51-73. <http://eudml.org/doc/83974>.

@article{Mossino1986,
author = {Mossino, J., Rakotoson, J. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {isoperimetric inequalities; directional derivative; rearrangement; strong solution; inequality; weak solution},
language = {eng},
number = {1},
pages = {51-73},
publisher = {Scuola normale superiore},
title = {Isoperimetric inequalities in parabolic equations},
url = {http://eudml.org/doc/83974},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Mossino, J.
AU - Rakotoson, J. M.
TI - Isoperimetric inequalities in parabolic equations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 1
SP - 51
EP - 73
LA - eng
KW - isoperimetric inequalities; directional derivative; rearrangement; strong solution; inequality; weak solution
UR - http://eudml.org/doc/83974
ER -

References

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  1. [1] R.A. Adams, Sobolev Spaces, Academic Press, New York, San Francisco, London, 1975. Zbl0314.46030MR450957
  2. [2] C. Bandle, Isoperimetric Inequalities and Applications, Pitman Advances Publishing Program, Boston, London, Melbourne, 1980. Zbl0436.35063MR572958
  3. [3] C. Bandle - J. Mossino, Application du réarrangement à une inéquation variationnelle, Note aux C.R.A.S., t. 296, série I, pp. 501-504, 1983, and a detailed paper, in Ann. Mat. Pura Appl. (IV) vol 138 (1984), pp. 1-14. Zbl0534.49006MR702557
  4. [4] C. Bardos, A regularity theorem for parabolic equations, J. Funct. Anal., 7, no. 2 (1971). Zbl0214.12302MR283433
  5. [5] A. Bensoussan - J.L. Lions, Applications des inéquations variationnelles en contrôle stochastique, Dunod, Collection « Méthodes Mathématiques de l'Informatique », 1978. Zbl0411.49002MR513618
  6. [6] J. Mossino - R. Temam, Directional derivative of the increasing rearrangement mapping, and application to a queer differential equation in plasma physics, Duke Math. J., 48 (1981), pp. 475-495. Zbl0476.35031MR630581
  7. [7] J. Mossino, Inégalités isopérimétriques et applications en physique, Hermann, Paris, Collection « Travaux en cours », 1984. Zbl0537.35002MR733257
  8. [8] G. Talenti, Elliptic equations and rearrangements, Ann. Scuola Norm. Sup. Pisa, serie 4, no. 3 (1976), pp. 697-718. Zbl0341.35031MR601601
  9. [9] J.L. Vazquez, Symétrisation pour ut = Δϕ(u) et applications, Note aux C.R.A.S., 295, série I (1982), pp. 71-74 and 296, série I (1983), p. 455. Zbl0501.35015

Citations in EuDML Documents

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  1. J. M. Rakotoson, D. Serre, Sur un problème d'optimisation lié aux équations de Navier-Stokes
  2. Bruno Volzone, Operatori parabolici con termine di ordine zero: risultati di confronto
  3. Jean-Michel Rakotoson, Maria Luisa Seoane, Numerical approximations of the relative rearrangement : the piecewise linear case. Application to some nonlocal problems
  4. Jean-Michel Rakotoson, Maria Luisa Seoane, Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems
  5. Angelo Alvino, Vincenzo Ferone, Guido Trombetti, Pierre-Louis Lions, Convex symmetrization and applications
  6. Guido Trombetti, Metodi di simmetrizzazione nelle equazioni alle derivate parziali

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