4 votos

TEOREMA 2 (Superior, interior de la regularidad). Deje $m$ ser un entero no negativo, y asumir $$a^{ij},b^i, c \in C^{m+1}(U) \quad (i,j = 1,\ldots,n) \tag{25}$$ and $$f \in H^m(U). \tag{26}$$ Suppose $u \H^1(U)$ is a weak solution of the elliptic PDE $$Lu=f \quad \text{in }U.$$