Obiettivo The objective of the project is the study of spectral properties of elliptic, especially two-term, asymptotic formulae for the counting function, the study of the negative spectrum of the Schrödinger operator and its generalizations, the spectral theory of Sturm-Liouville equations with non-decaying potentials, the spectral theory of Douglis-Nirenberg type elliptic systems, spectral theory of degenerate elliptic equations and the spectral theory of elliptic operators in domains with irregular (in particular, fractal) boundaries. The necessary technical tools will also be developed, such as the theory of branching Hamiltonian billiards, the theory of global oscillatory integrals with complex phase functions, Tauberian theorems, qualitative and quantitative properties of function spaces and the theory of pseudo-differential operators. Elliptic systems arising in continuum mechanics, non-linear evolution problems and completely integrable systems will also be considered. A detailed analysis of the behaviour of solutions of elliptic and parabolic differential equations in domains with conical and angular points will be carried out. Programma(i) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Argomento(i) 21 - Mathematics Invito a presentare proposte Data not available Meccanismo di finanziamento Data not available Coordinatore UNIVERSITY OF SUSSEX Contributo UE Nessun dato Indirizzo University of Sussex Falmer BN1 9QH BRIGHTON / FALMER Regno Unito Mostra sulla mappa Costo totale Nessun dato Partecipanti (4) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto Moscow State University M.V. Lomonosov Russia Contributo UE Nessun dato Indirizzo 119899 Moscow Mostra sulla mappa Costo totale Nessun dato National Academy of Sciences of Ukraine Ucraina Contributo UE Nessun dato Indirizzo 310164 Kharkov Mostra sulla mappa Costo totale Nessun dato St. Petersburg State University Russia Contributo UE Nessun dato Indirizzo 198904 St. Petersburg Mostra sulla mappa Costo totale Nessun dato Université Paul Sabatier Toulouse Francia Contributo UE Nessun dato Indirizzo 31062 Toulouse Mostra sulla mappa Costo totale Nessun dato