The aim of this paper is to establish a higher integrability result for the second derivatives of solutions to nondivergence elliptic equations of the type $\sum_{i,j=1}^n a_{ij}(x) \frac{\partial^2 u}{\partial x_i \partial x_j}=h$. The matrix coefficient $A(x)=[a_{ij}(x)]_{i,j}$ is assumed to belong to the space $BMO$.
Regularity result for nondivergence equations with unbounded coefficients / Radice, Teresa. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - STAMPA. - 23:9-10(2010), pp. 989-1000.
Regularity result for nondivergence equations with unbounded coefficients
RADICE, TERESA
2010
Abstract
The aim of this paper is to establish a higher integrability result for the second derivatives of solutions to nondivergence elliptic equations of the type $\sum_{i,j=1}^n a_{ij}(x) \frac{\partial^2 u}{\partial x_i \partial x_j}=h$. The matrix coefficient $A(x)=[a_{ij}(x)]_{i,j}$ is assumed to belong to the space $BMO$.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
