By Victor Isakov
The mathematical works of S.L. Sobolev have been strongly stimulated by means of specific difficulties coming from functions. The technique and concepts of his well-known booklet ''Applications of practical research in Mathematical Physics'' of 1950 grew to become out to be very influential and are time-honored within the learn of varied difficulties of mathematical physics. the subjects of this quantity situation mathematical difficulties, in general from regulate concept and inverse difficulties, describing numerous tactics in physics and mechanics, particularly, the stochastic Ginzburg–Landau version with white noise simulating the phenomenon of superconductivity in fabrics below low temperatures, spectral asymptotics for the magnetic Schrodinger operator, the idea of boundary controllability for types of Kirchhoff plate and the Euler–Bernoulli plate with quite a few bodily significant boundary controls, asymptotics for boundary price difficulties in perforated domain names and our bodies with diverse sort defects, the Finsler metric in reference to the research of wave propagation, the electrical impedance tomography challenge, the dynamical Lam´e approach with residual pressure, and so on.