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Discrete dynamics of complex bodies with substructural dissipation: Variational integrators and convergence
Nondivergence elliptic equations with unbounded coefficients
| 1. | Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli, Via Cintia - 80126, Napoli, Italy |
| 2. | Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Università degli Studi di Napoli "Federico II", Via Cintia - 80126, Napoli, Italy |
$ \sum_{i,j=1}^n a_{ij}(x)\,\frac{\partial^2 u}{\partial x_i\,\partial x_j}=f$
in domains of $r^n$. We assume that the coefficients $a_{ij}$ are in $BMO$ and the equation is elliptic, but not uniformly, and consider $f$ in $L^2(r^n)$, or even in the Zygmund class $L^2\log^\alpha L(r^n)$. We also solve Dirichlet problem.
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