Invertibility of parabolic pseudodifferential operators with rapidly increasing symbols

We consider pseudodifferential operators with rapidly increasing double symbols analytic with respect to the variable dual to the time on the lower complex half-plane. We construct invertibility theory for these operators in weighted Sobolev spaces with weights related to growths of symbols and give applications to heat equations with potentials of power, exponential, and superexponential growths. Dedicated to the memory of Professor Leonid Romanovich Volevich     

Pair-states in α-perylene crystal. A theoretical study

The low- and high-temperature emissions from α-perylene are interpreted as originating in, respectively, loosely- and tightly-bound pair complexes. The change-over from one to the other results from thermal expansion and deformation of the lattice and the resulting change in contact distances between the complexing pair and the surrounding molecules. With this model the binding energies, Stokes shifts, lifetimes, and emissive bandwidths associated with the complexes are estimated, as is the activation energy for excimer-exciton migration; the values agree well with the available experimental data.     

Messung des thermischen Schlupfkoeffizienten von Gasen und thermophoretische Geschwindigkeit von gro?en Aerosolteilchen

Ohne Zusammenfassung     

Polarization Characteristics of Low-Frequency Resonances in the Earth–Ionosphere Cavity

We present the results of measurements and model calculations of the polarization characteristics of ULF–ELF fields in the Earth – ionosphere cavity. It is shown that the horizontal magnetic field in the cavity is elliptically polarized. The ellipticity sign remains constant in the vicinity of the first Schumann resonance. This is explained by the fact that the first resonance frequency splits into a triplet, and one side-band wave of this triplet plays the dominant role in the radio-wave propagation. It is also shown that occasional degeneracy may occur in the cavity within the framework of the hedgehog model of the geomagnetic field.     

Periodic evolution of space chaos in the one-dimensional complex Ginzburg-Landau equation

Periodic evolution of the space chaos in a one-dimensional distributed system represented by the complex Ginzburg-Landau equation is studied. There exists a region of parameters where spatially chaotic distribution of the field varies periodically with time, and the boundaries of this region are determined. The regime of periodic space chaos was found to exist only for certain initial conditions. A system of ordinary differential equations that describes the space chaos is derived.Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, Nos. 1–2, pp. 37–43, January–February, 1995.