Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book starts from the basics but at the same time covers some of the exciting recent developments which can be explained without too many prerequisites....Loe edasi...
(Ilmumisaeg: 01-Nov-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470475253)
It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian...Loe edasi...
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations. These are concerned with the dynamics of the solution starting from initial data with compac...Loe edasi...
Consider a general linear Hamiltonian system tu JLu in a Hilbert space . We assume that L induces a bounded and symmetric bi-linear form L, on , which has only finitely many negative dimensions n (L). There is no restriction on the anti-self-dual op...Loe edasi...
(Ilmumisaeg: 30-Jan-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821892114)
Berkolaiko and Kuchment (Texas A&M) examine metric graphs equipped with differential operators, scattering on vertices, the spectral structure of quantum graph Hamiltonians, spectra of periodic graphs, and the spectrum theory of quantum graphs. The l...Loe edasi...
The school is designed to introduce young researchers to current topics in mathematical physics that involve the analytical setting and a dose of physical intuition. Nine lectures consider such topics as kinetic theory and the Kac master equation, ma...Loe edasi...
