Includes bibliographical references.

_p estimates for solutions to second order parabolic equations;Wavelet decompositions on nonuniform grids;Newton polyhedra and estimates for differential operators;Nodal lines and uniqueness of solutions to linear water-wave problems;On integral models of algebraic tori and affine toric varieties;A geometrical approach to computation of the optimal solution to the rectangle packing problem;Nonstationary Maxwell system with nonhomogeneous boundary conditions in domains with conical points;Exceptional sets for the derivatives of Blaschke products;Asymptotics of solutions and artificial boundary conditions in the transmission problem with a layer-like inhomogeneity