科研之友
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摘要
A new approach is established to show that the semigroup {S(t)}(t >= 0) generated by a reaction-diffusion equation with supercritical exponent is uniformly quasi-differentiable in L-q (Omega) (2 <= q < infinity) with respect to the initial value. As an application, this proves the upper-bound of fractal dimension for its global attractor in the corresponding space.
