Geodesic
Weighted Inertia-Dissipation-Energy Functionals for Semilinear Equations
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 1, pp. 1-27

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We address a global-in-time variational approach to semilinear PDEs of either parabolic or hyperbolic type by means of the so-called Weighted Inertia-Dissipation-Energy (WIDE) functional. In particular, minimizers of the WIDE functional are proved to converge, up to subsequences, to weak solutions of the limiting PDE. This entails the possibility of reformulating the limiting differential problem in terms of convex minimization. The WIDE formalism can be used in order to discuss parameters asymptotics via $\Gamma$-convergence and is extended to some time-discrete situation as well. 
@article{BUMI_2013_9_6_1_a0,
     author = {Liero, Matthias and Stefanelli, Ulisse},
     title = {Weighted {Inertia-Dissipation-Energy} {Functionals} for {Semilinear} {Equations}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {1--27},
     publisher = {mathdoc},
     volume = {Ser. 9, 6},
     number = {1},
     year = {2013},
     zbl = {1273.35188},
     mrnumber = {3077111},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_1_a0/}
}
TY  - JOUR
AU  - Liero, Matthias
AU  - Stefanelli, Ulisse
TI  - Weighted Inertia-Dissipation-Energy Functionals for Semilinear Equations
JO  - Bollettino della Unione matematica italiana
PY  - 2013
SP  - 1
EP  - 27
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_1_a0/
LA  - en
ID  - BUMI_2013_9_6_1_a0
ER  - 
%0 Journal Article
%A Liero, Matthias
%A Stefanelli, Ulisse
%T Weighted Inertia-Dissipation-Energy Functionals for Semilinear Equations
%J Bollettino della Unione matematica italiana
%D 2013
%P 1-27
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_1_a0/
%G en
%F BUMI_2013_9_6_1_a0
Liero, Matthias; Stefanelli, Ulisse. Weighted Inertia-Dissipation-Energy Functionals for Semilinear Equations. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 1, pp. 1-27. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_1_a0/