Stability of solutions for an abstract Dirichlet problem

Marek Galewski. "Stability of solutions for an abstract Dirichlet problem." Annales Polonici Mathematici 83.3 (2004): 273-280. <http://eudml.org/doc/280943>.

@article{MarekGalewski2004,
abstract = {We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.},
author = {Marek Galewski},
journal = {Annales Polonici Mathematici},
keywords = {stability; semilinear Dirichlet problem; superquadratic nonlinearity},
language = {eng},
number = {3},
pages = {273-280},
title = {Stability of solutions for an abstract Dirichlet problem},
url = {http://eudml.org/doc/280943},
volume = {83},
year = {2004},
}

TY - JOUR
AU - Marek Galewski
TI - Stability of solutions for an abstract Dirichlet problem
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 3
SP - 273
EP - 280
AB - We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.
LA - eng
KW - stability; semilinear Dirichlet problem; superquadratic nonlinearity
UR - http://eudml.org/doc/280943
ER -