On the vanishing viscosity method for first order differential-functional IBVP
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 927-947
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We consider the initial-boundary value problem for first order differential-functional equations. We present the `vanishing viscosity' method in order to obtain viscosity solutions. Our formulation includes problems with a retarded and deviated argument and differential-integral equations.
Classification :
35D05, 35K60, 35R10
Keywords: viscosity solutions; first order equation; parabolic equation; differential functional equations
Keywords: viscosity solutions; first order equation; parabolic equation; differential functional equations
@article{CMJ_2008__58_4_a5,
author = {Topolski, Krzysztof A.},
title = {On the vanishing viscosity method for first order differential-functional {IBVP}},
journal = {Czechoslovak Mathematical Journal},
pages = {927--947},
publisher = {mathdoc},
volume = {58},
number = {4},
year = {2008},
mrnumber = {2471158},
zbl = {1174.35018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_4_a5/}
}
TY - JOUR AU - Topolski, Krzysztof A. TI - On the vanishing viscosity method for first order differential-functional IBVP JO - Czechoslovak Mathematical Journal PY - 2008 SP - 927 EP - 947 VL - 58 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2008__58_4_a5/ LA - en ID - CMJ_2008__58_4_a5 ER -
Topolski, Krzysztof A. On the vanishing viscosity method for first order differential-functional IBVP. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 927-947. http://geodesic.mathdoc.fr/item/CMJ_2008__58_4_a5/