Operator Methods in Ordinary and Partial Differential Equations: S. Kovalevsky Symposium, University of Stockholm, June 2000

ISBN-13: 9783034894791 / Angielski / Miękka / 2012 / 424 str.

Sergio Albeverio; Nils Elander; W. Nirrie Everitt

Opis

COib.H BaCHJIbeBHa lU>BaJIeBcR8JI (Sonja Kovalevsky) was born in Moscow in 1850 and died in Stockholm in 1891. Between these years, in the then changing and turbulent circumstances for Europe, lies the all too brief life of this remarkable woman. This life was lived out within the great European centers of power and learning in Russia, France, Germany, Switzerland, England and Sweden. To this day, now 150 years after her birth, her influence for and contribution to mathe- matics, science, literature, women's rights and democratic government are recorded and reviewed, not only in Europe but now in countries far removed in time and distance from the lands of her birth and being. This volume, dedicated to her memory and to her achievements, records the Proceedings of the Marcus Wallenberg Symposium held, in memory of Sonja Kovalevsky, at Stockholm University from 18 to 22 June 2000. The symposium was held at the Department of Mathematics with its excellent library and lecture halls providing favourable working conditions. Within these pages are contained a curriculum vitae for Sonja Kovalevsky, a list of all her scientific publications, together with a copy of the moving and elegant obituary notice written by her friend and protector Gosta Mittag-Leffler. These papers are followed by a leading article entitled Sonja Kovalevsky: Her life and professorship in Stockholm, written especially for this volume by Jan-Erik Bjork in preparation for his major address to the Symposium.

Spis treści

I. Sonja Kovalevsky.- Curriculum Vitae.- Scientific publications.- Sophie Kovalevsky.- Sonja Kovalevsky: Her life and professorship at Stockholm.- Rigid bodies and the Bordin Prize.- The limitations of the Cauchy-Kovalevsky theorem.- II. Research papers.- On integrability of many-body problems with point interactions.- Generalized point models in boundary contact value problems of hydroelasticity.- Some spectral properties of the Heun differential equation.- On the approximation of the solution of the Schrodinger equation by superpositions of stationary solutions.- Lyapunov exponents in continuum Bernoulli-Anderson models.- Families of spectral measures with mixed types.- Singular point-like perturbations of the Laguerre operator in a Pontryagin space.- Realizations of Herglotz-Nevanlinna functions via F-systems.- Integral equations of relativistic bound state theory and Sturm-Liouville problem.- The non-relativistic scattering problem for a superposition of ä-potentials.- On the periodic magnetic Schrodinger operator in Rd. Eigenvalues and model functions.- The Laplace operator, null set perturbations and boundary conditions.- Ergodicity in the p-adic framework.- On the resolvent estimates for the generators of strongly continuous groups in the Hilbert spaces.- Supersymmetry of the Sturm—Liouville and Korteveg—de Vries operators.- Resonance triadic quantum switch.- The Hamilton operator and quantum vacuum for nonconformal scalar fields in the homogeneous and isotropic space.- Boundary conditions for singular perturbations of self-adjoint operators.- Asymptotical and topological constructions in hydrodynamics.- Spectral aspects of a class of differential operators.- Spectral properties of Jacobi matrices with rapidly growing power-like weights.- Kovalevskaya’s dynamics and Schrodinger equations of Henn class.- Effective quantum number for centrally symmetric potentials.- List of participants.- List of lecture titles.