Geodesic
Caccioppoli estimates and very weak solutions of elliptic equations
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 14 (2003) no. 3, pp. 189-205 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

Voir la notice de l'article

Caccioppoli estimates are instrumental in virtually all analytic aspects of the theory of partial differential equations, linear and nonlinear. And there is always something new to add to these estimates. We emphasize the fundamental role of the natural domain of definition of a given differential operator and the associated weak solutions. However, we depart from this usual setting (energy estimates) and move into the realm of the so-called very weak solutions where important new applications lie. We carry out this task deliberately with a restricted generality in interest of readability, and we hope it pays off handsomely in mathematical insights. 
@article{RLIN_2003_9_14_3_a2,
     author = {Iwaniec, Tadeusz and Sbordone, Carlo},
     title = {Caccioppoli estimates and very weak solutions of elliptic equations},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {189--205},
     year = {2003},
     volume = {Ser. 9, 14},
     number = {3},
     zbl = {1225.35069},
     mrnumber = {MR2064266},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a2/}
}
TY  - JOUR
AU  - Iwaniec, Tadeusz
AU  - Sbordone, Carlo
TI  - Caccioppoli estimates and very weak solutions of elliptic equations
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 2003
SP  - 189
EP  - 205
VL  - 14
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a2/
LA  - en
ID  - RLIN_2003_9_14_3_a2
ER  - 
%0 Journal Article
%A Iwaniec, Tadeusz
%A Sbordone, Carlo
%T Caccioppoli estimates and very weak solutions of elliptic equations
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 2003
%P 189-205
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a2/
%G en
%F RLIN_2003_9_14_3_a2
Iwaniec, Tadeusz; Sbordone, Carlo. Caccioppoli estimates and very weak solutions of elliptic equations. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 14 (2003) no. 3, pp. 189-205. http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a2/