Geodesic
Stability of solutions for an abstract Dirichlet problem
Marek Galewski1
1 Faculty of Mathematics University of Łódź Banacha 22 90-238 Łódź, Poland
Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 273-280 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We consider continuous dependence of solutions on the right hand side for a semilinear operator equation $Lx=\nabla G( x) $, where $L:D( L) \subset Y\rightarrow Y$ ($Y$ a Hilbert space) is self-adjoint and positive definite and $G:Y\rightarrow Y$ 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.
DOI : 10.4064/ap83-3-9
Keywords: consider continuous dependence solutions right side semilinear operator equation nabla where subset rightarrow hilbert space self adjoint positive definite rightarrow convex functional superquadratic growth applications derive stability results dependence functional parameter fourth order dirichlet problem applications given

Marek Galewski 1

1 Faculty of Mathematics University of Łódź Banacha 22 90-238 Łódź, Poland 
@article{10_4064_ap83_3_9,
     author = {Marek Galewski},
     title = {Stability of solutions for an abstract {Dirichlet} problem},
     journal = {Annales Polonici Mathematici},
     pages = {273--280},
     year = {2004},
     volume = {83},
     number = {3},
     doi = {10.4064/ap83-3-9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap83-3-9/}
}
TY  - JOUR
AU  - Marek Galewski
TI  - Stability of solutions for an abstract Dirichlet problem
JO  - Annales Polonici Mathematici
PY  - 2004
SP  - 273
EP  - 280
VL  - 83
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap83-3-9/
DO  - 10.4064/ap83-3-9
LA  - en
ID  - 10_4064_ap83_3_9
ER  - 
%0 Journal Article
%A Marek Galewski
%T Stability of solutions for an abstract Dirichlet problem
%J Annales Polonici Mathematici
%D 2004
%P 273-280
%V 83
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap83-3-9/
%R 10.4064/ap83-3-9
%G en
%F 10_4064_ap83_3_9
Marek Galewski. Stability of solutions for an abstract Dirichlet problem. Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 273-280. doi: 10.4064/ap83-3-9

Cité par Sources :