Some non-linear evolution equations
摘要
In this paper we consider evolution equations of the form (i) A(t)u(f) + u"({) + ^(t; u(0, u f (t))=f(t), o^t^T (u'= duldt, u" = d^-ii/di 2 ), where each A(t) is an unbounded formally self-adjoint ( i ) linear operator, which is in practice an elliptic partial differential operator subject to appropriate boundary conditions. The operator ^(t; u, u') depends non-linearly on u and u^ and is, in some sense, close to a (< monotonic " (or (< dissipative ") operator.
引用本文（GB/T 7714）
J. L. Lions, Walter A. Strauss. Some non-linear evolution equations[J]. Bulletin de la Société mathématique de France, 1965.
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