Convergence of Difference Approximations and Nonlinear Semigroups

Shigeo Kanda · Proceedings of the American Mathematical Society · 1990

We give a convergence theorem for the difference approximation for the evolution equation $(d/dt)u(t) \in Au(t)$ and a generation theorem of nonlinear semigroups for "directed" dissipative operators $A$ in a real Hilbert space.

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