Consider an open bounded connected set Ohm in R-n and a Lebesgue measurable set E subset of subset of Ohm of positive measure. Let u be a solution of the strictly elliptic equation D-i(a(ij)D(j)u) = 0 in Omega, where a(ij) is an element of C-0,C-1(<(Omega)over bar>) and {a(ij)} is a symmetric matrix. Assume that /u/ less than or equal to epsilon in E. We quantify the propagation of smallness of u in Omega.
QUANTITATIVE CONTINUATION OF SOLUTION OF ELLIPTIC EQUATIONS FROM A MEASURABLE SET / S. VESSELLA. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - STAMPA. - 130A:(2000), pp. 909-923. [10.1017/S0308210500000494]
QUANTITATIVE CONTINUATION OF SOLUTION OF ELLIPTIC EQUATIONS FROM A MEASURABLE SET
VESSELLA, SERGIO
2000
Abstract
Consider an open bounded connected set Ohm in R-n and a Lebesgue measurable set E subset of subset of Ohm of positive measure. Let u be a solution of the strictly elliptic equation D-i(a(ij)D(j)u) = 0 in Omega, where a(ij) is an element of C-0,C-1(<(Omega)over bar>) and {a(ij)} is a symmetric matrix. Assume that /u/ less than or equal to epsilon in E. We quantify the propagation of smallness of u in Omega.File | Dimensione | Formato | |
---|---|---|---|
QuantitativefromMeasurableSet.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
707.62 kB
Formato
Adobe PDF
|
707.62 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.