Climax vegetation is the vegetation which establishes itself on a given site for given climatic conditions in the absence of major disturbance after a long time (it is the asymptotic or quasi-equilibrium state of the local ecosystem).
The full statement of Vinogradov's theorem gives asymptotic bounds on the number of representations of an odd integer as a sum of three primes.
He also substantially contributed to the development of the theory of capacities, nonlinear potential theory, the asymptotic and qualitative theory of arbitrary order elliptic equations, the theory of ill-posed problems, the theory of boundary value problems in domains with piecewise smooth boundary.
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