A variational approach for a semi-linear parabolic equation with measure data

Mongi Mabrouk

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 1, page 91-112
  • ISSN: 0240-2963

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Mabrouk, Mongi. "A variational approach for a semi-linear parabolic equation with measure data." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.1 (2000): 91-112. <http://eudml.org/doc/73514>.

@article{Mabrouk2000,
author = {Mabrouk, Mongi},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {variational approach; epi-convergence},
language = {eng},
number = {1},
pages = {91-112},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A variational approach for a semi-linear parabolic equation with measure data},
url = {http://eudml.org/doc/73514},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Mabrouk, Mongi
TI - A variational approach for a semi-linear parabolic equation with measure data
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 1
SP - 91
EP - 112
LA - eng
KW - variational approach; epi-convergence
UR - http://eudml.org/doc/73514
ER -

References

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  1. [1] Attouch ( H.). — Variational Convergence for functions and Operators, Applicable Math-SeriesPitman (1984). Zbl0561.49012MR773850
  2. [2] Attouch ( H.), Bouchitte ( G.), Mabrouk ( M.). - Variational Formulations for semi-linear elliptic equations involving measures, Non-linear Variational Problems, A. Marino & Av. Murthy Editors, PitmanResearch Notes in Math. Series vol. II, 211 (1989), pp.1-56. Zbl0668.35030
  3. [3] Attouch ( H.), Damlamian ( A.). — Problèmes d'évolution dans les Hilberts et applications, J. Maths Pures et Appl., 54 (1975), pp. 53-74. Zbl0293.35041MR454756
  4. [4] Baras ( P.), Pierre ( M.). — Problèmes paraboliques semi-linéaires avec données mesures, Appl. Anal., 18 (1984), pp. 111-149. Zbl0582.35060MR762868
  5. [5] Boccardo ( L.), DALL'AGLIO ( A.), Gallouet ( T.), Orsina ( L.). — Nonlinear Parabolic Equation with measure Data, Journal of Functional Analysis, 147 (1997), pp. 237-258. Zbl0887.35082MR1453181
  6. [6] Brezis ( H.), Ekeland ( I.). — Un principe variationnel parabolique et applications, Comptes Rend. Acad. Sci.Paris, série A, 282 (1976). 
  7. [7] Brezis ( H.), Friedman ( A.). — Non-Linear Parabolic Equations involving measures as initial conditions, J. Maths Pures et Appl., 62 (1983), pp. 73-97. Zbl0527.35043MR700049
  8. [8] Mabrouk ( M.). - Problème de Neumann non-linéaire à données mesures, Annales de l'E.N.I.Tunis. 3 (1989), p. 111-131. 
  9. [9] Mabrouk ( M.). - Sur un problème d'évolution à données mesures; approche variationnelle, Comptes Rend. Acad. Sc.Paris, série I. 318 (1994), pp. 47-53. Zbl0803.35155MR1260534
  10. [10] Solonnikov ( V.A.). - A priori estimates for equations of second order of parabolic type, Tr. Mat. Inst. Steklov.10, pp. 133-142, Amer.Math. Transl.65 (1967), pp. 51-137. Zbl0179.42901MR162065
  11. [11] Orsina ( L.). — Weak minima for some functionals and elliptic equations involving measures, Comptes rend. Acad. Sc.Paris, série I, 322 (1996), pp. 1151-1156. Zbl0849.35024MR1396657

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