Solvability for semilinear PDE with multiple characteristics

Alessandro Oliaro, and Luigi Rodino. "Solvability for semilinear PDE with multiple characteristics." Banach Center Publications 60.1 (2003): 295-303. <http://eudml.org/doc/286348>.

@article{AlessandroOliaro2003,
abstract = {We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in $G^\{σ\}$, 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class $G^\{σ\}$ with respect to all variables.},
author = {Alessandro Oliaro, Luigi Rodino},
journal = {Banach Center Publications},
keywords = {Gevrey spaces; nonlinear elliptic equations},
language = {eng},
number = {1},
pages = {295-303},
title = {Solvability for semilinear PDE with multiple characteristics},
url = {http://eudml.org/doc/286348},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Alessandro Oliaro
AU - Luigi Rodino
TI - Solvability for semilinear PDE with multiple characteristics
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 295
EP - 303
AB - We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in $G^{σ}$, 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class $G^{σ}$ with respect to all variables.
LA - eng
KW - Gevrey spaces; nonlinear elliptic equations
UR - http://eudml.org/doc/286348
ER -