数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (4): 361-365.
• 论文 • 下一篇
M. I. Hassan
M. I. Hassan
摘要: The main result concerning the question of whether the classical solution u(x) of Dirichlet's problem for an elliptic equation Lu=f is in the Sobolev space W1 is that u∈W1 provided the coefficients of L areessentially bounded and f∈L2. Here, the author proves a result showing that u may be in W1 even when f is not in the class L2.