@article{AIHPC_1999__16_6_691_0,
author = {Mehats, Florian and Roquejoffre, Jean-Michel},
title = {A nonlinear oblique derivative boundary value problem for the heat equation. {Part} 2 : singular self-similar solutions},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {691--724},
year = {1999},
publisher = {Gauthier-Villars},
volume = {16},
number = {6},
mrnumber = {1720513},
zbl = {0945.35047},
language = {en},
url = {https://www.numdam.org/item/AIHPC_1999__16_6_691_0/}
}
TY - JOUR AU - Mehats, Florian AU - Roquejoffre, Jean-Michel TI - A nonlinear oblique derivative boundary value problem for the heat equation. Part 2 : singular self-similar solutions JO - Annales de l'I.H.P. Analyse non linéaire PY - 1999 SP - 691 EP - 724 VL - 16 IS - 6 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPC_1999__16_6_691_0/ LA - en ID - AIHPC_1999__16_6_691_0 ER -
%0 Journal Article %A Mehats, Florian %A Roquejoffre, Jean-Michel %T A nonlinear oblique derivative boundary value problem for the heat equation. Part 2 : singular self-similar solutions %J Annales de l'I.H.P. Analyse non linéaire %D 1999 %P 691-724 %V 16 %N 6 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPC_1999__16_6_691_0/ %G en %F AIHPC_1999__16_6_691_0
Mehats, Florian; Roquejoffre, Jean-Michel. A nonlinear oblique derivative boundary value problem for the heat equation. Part 2 : singular self-similar solutions. Annales de l'I.H.P. Analyse non linéaire, Tome 16 (1999) no. 6, pp. 691-724. https://www.numdam.org/item/AIHPC_1999__16_6_691_0/
[1] , Sobolev spaces, Acad. Press, 1975. | Zbl | MR
[2] , and , Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I and II, Comm. Pure Appl. Math., 12, 1959, pp. 623-727; 17, 1964, pp. 35-92. | Zbl | MR
[3] , Fully nonlinear Neumann type boundary conditions for second-order elliptic and parabolic equations. J. Diff. Equations, Vol. 106, No. 1, 1993, pp. 90-106.. | Zbl | MR
[4] , Thèse de doctorat de l'École polytechnique, 1994.
[5] , and , User's guide to viscosity solutions of second order Partial differential equations. Bull. Amer. Soc,. 27, 1992, pp. 1-67. | Zbl | MR
[6] and , Measure theory and fine properties of functions, Studies in Advanced Math., CRC Press, Ann Arbor, 1992. | Zbl | MR
[7] , and , Rapid penetration of a magnetic field into a plasma along an electrode, Sov. J. Plasma Phys., 16, Vol. 1, 1990, pp. 55-57.
[8] , Numerical Methods for Conservation Laws, Lectures in Mathematics, Birkhäuser Verlag, 1990. | Zbl | MR
[9] and , Nonlinear oblique boundary value problems for nonlinear elliptic equations, Trans. A.M.S, Vol. 295, 1986, pp. 509-546. | Zbl | MR
[10] and , Convergence of MUSCL type methods for scalar conservation laws, C.R. Acad. Sci. Paris, Vol. 311, 1990, Série I, pp. 259-264. | Zbl | MR
[11] , Thèse de doctorat de l'École polytechnique, 1997.
[12] and , A nonlinear oblique derivative boundary value problem for the heat equation. Part 1: Basic results, to appear in Ann. IHP,Analyse Non Linéaire. | Zbl | Numdam






