Purpose. To study fractal movements (for example, fractal Brownian movement); modeling of energy propagation in porous media; studies of various physical, economic characteristics, etc.
Application area. Computer technology, education, fundamental research, information technology, economics.
Advantages. A new direction in science has been created – parabolic pseudodifferential equations with non-smooth homogeneous symbols.
Description. The development is a theory of correct solvability of the Cauchy problem and nonlocal multipoint time problems for evolutionary pseudodifferential equations with homogeneous and pointwise nonsmooth symbols, when the boundary functions belong to the classes of ultradistributions, quasilinear pseudodifferential equations with argument deviation, which solve.