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 Exact local estimates for the supports of solutions in problems for non-linear parabolic equationsU. G. Abdullaev 3 On the geometry and topology of flows and foliations on surfaces and the Anosov problemS. Kh. Aranson, V. Z. Grines, E. V. Zhuzhoma 25 Solubility and properties of solutions of functional-differential equations in Hilbert spaceV. V. Vlasov 67 The nilpotency class of the sandwich subalgebra of simple finite-dimensional Lie algebrasS. A. Kirillov 93 Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the associated sheavesD. Yu. Kuznetsov 105 The SQ-universality of hyperbolic groupsA. Yu. Ol'shanskii 119 The Dirac operator with elliptic potentialA. O. Smirnov 133