Comparison theorems for a class of first order Hamilton-Jacobi equations

Ester Giarrusso; Diana Nunziante

Annales de la Faculté des sciences de Toulouse : Mathématiques (1985)

  • Volume: 7, Issue: 1, page 57-73
  • ISSN: 0240-2963

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Giarrusso, Ester, and Nunziante, Diana. "Comparison theorems for a class of first order Hamilton-Jacobi equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.1 (1985): 57-73. <http://eudml.org/doc/73170>.

@article{Giarrusso1985,
author = {Giarrusso, Ester, Nunziante, Diana},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {rearrangement; first order Hamilton-Jacobi equations; symmetrization technique; decreasing spherically symmetric solution; existence; viscosity solution},
language = {eng},
number = {1},
pages = {57-73},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Comparison theorems for a class of first order Hamilton-Jacobi equations},
url = {http://eudml.org/doc/73170},
volume = {7},
year = {1985},
}

TY - JOUR
AU - Giarrusso, Ester
AU - Nunziante, Diana
TI - Comparison theorems for a class of first order Hamilton-Jacobi equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1985
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 1
SP - 57
EP - 73
LA - eng
KW - rearrangement; first order Hamilton-Jacobi equations; symmetrization technique; decreasing spherically symmetric solution; existence; viscosity solution
UR - http://eudml.org/doc/73170
ER -

References

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  2. [2] A. Alvino - G. Trombetti. «Equazioni ellittiche con termini di ordine inferiore e riordinamenti». Atti Accad. Naz. Lincei (8)66 (1979), n. 3,194-200. Zbl0455.35052MR606083
  3. [3] G. Chiti. «Norme di Orlicz delle soluzioni di una classe di equazioni ellittiche». Boll. U.M.I. A(5) 16 (1979), 178-185. Zbl0398.35028MR530146
  4. [4] K.M. Chong - N.M. Rice. «Equimeasurable rearrangements of functions». Queens Papers in Pure and Applied Math.., n° 28, 1971. Zbl0275.46024MR372140
  5. [5] M.G. Crandall - L.C. Evans - P.L. Lions. «Some properties of viscosity solutions of Hamilton-Jacobi equations». Trans. A.M.S.282 (1984), n°2, 487-502. Zbl0543.35011MR732102
  6. [6] M.G. Crandall - P.L. Lions. «Viscosity solutions of Hamilton-Jacobi equations». Trans. Amer. Math. Soc.277 (1983), 1-42. Zbl0599.35024MR690039
  7. [7] E. De Giorgi. «Su una teoria generale della misura (r-1)-dimensionale in una spazio ad r dimensioni». Ann. Mat. Pura Appl. (4) 36 (1954), 191-213. Zbl0055.28504MR62214
  8. [8] F. Fleming - R. Rishel. «An integral formula for total gradient variation». Arch. Math.11 (1960), 218-222. Zbl0094.26301MR114892
  9. [9] E. Giarrusso - D. Nunziante. «Symmetrization in a class of first-order Hamilton-Jacobi equations». Nonlinear Analysis T.M.A.8 (1984), n° 4, 289-299. Zbl0543.35014MR739660
  10. [10] G.H. Hardy - J.E. Littlewood - G. Polya. «Inequalities». Cambridge University Press (1964). Zbl0010.10703JFM60.0169.01
  11. [11] P.L. Lions. «Generalized solutions of Hamilton-Jacobi equations». Pitman, London (1982). Zbl0497.35001MR667669
  12. [12] G.G. Lorentz. «Some new functional spaces». Ann. of Math. (2) 51 (1950), 37-55. Zbl0035.35602MR33449
  13. [13] G. Talenti. «Elliptic equations and rearrangements». Ann. Scuola Norm. Sup. Pisa (4)3 (1976), n. 4, 697-718. Zbl0341.35031MR601601

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