Behaviour of solutions to u t - Δ u + | ∇ u | p = 0 as p → +∞

Philippe Laurençot

Banach Center Publications (2000)

  • Volume: 52, Issue: 1, page 153-161
  • ISSN: 0137-6934

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Laurençot, Philippe. "Behaviour of solutions to $u_{t} - Δu + |∇u|^{p} = 0$ as p → +∞." Banach Center Publications 52.1 (2000): 153-161. <http://eudml.org/doc/209053>.

@article{Laurençot2000,
author = {Laurençot, Philippe},
journal = {Banach Center Publications},
keywords = {comparison and compactness arguments},
language = {eng},
number = {1},
pages = {153-161},
title = {Behaviour of solutions to $u_\{t\} - Δu + |∇u|^\{p\} = 0$ as p → +∞},
url = {http://eudml.org/doc/209053},
volume = {52},
year = {2000},
}

TY - JOUR
AU - Laurençot, Philippe
TI - Behaviour of solutions to $u_{t} - Δu + |∇u|^{p} = 0$ as p → +∞
JO - Banach Center Publications
PY - 2000
VL - 52
IS - 1
SP - 153
EP - 161
LA - eng
KW - comparison and compactness arguments
UR - http://eudml.org/doc/209053
ER -

References

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  1. [1] L. Amour and M. Ben-Artzi, Global existence and decay for viscous Hamilton-Jacobi equations, Nonlinear Anal. 31 (1998), 621-628. Zbl1023.35049
  2. [2] S. Benachour and Ph. Laurençot, Global solutions to viscous Hamilton-Jacobi equations with irregular initial data, Comm. Partial Differential Equations 24 (1999), 1999-2021. Zbl0935.35033
  3. [3] Ph. Bénilan and M. G. Crandall, Completely accretive operators, in: Semigroup Theory and Evolution Equations, Ph. Clément et al. (eds.), Lecture Notes in Pure and Appl. Math. 135, Dekker, New York, 1991, 41-75. Zbl0895.47036
  4. [4] Ph. Bénilan and P. Wittbold, Absorptions non linéaires, J. Funct. Anal. 114 (1993), 59-96. Zbl0786.47043
  5. [5] K. M. Hui, Asymptotic behaviour of solutions of u t = Δ u m - u p as p → ∞, Nonlinear Anal. 21 (1993), 191-195. 
  6. [6] O. Kavian, Introduction à la Théorie des Points Critiques et Applications aux Problèmes Elliptiques, Math. Appl. 13, SMAI, Springer-Verlag, Paris, 1993. 
  7. [7] O. A. Ladyženskaja, V. A. Solonnikov and N. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monogr. 23, Amer. Math. Soc., Providence, 1968. 

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