The analysis of eigenvalues of Laplace and Schrodinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrodinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.
Ngôn ngữ Anh ● định dạng PDF ● ISBN 9781009218443 ● Nhà xuất bản Cambridge University Press ● Được phát hành 2022 ● Có thể tải xuống 3 lần ● Tiền tệ EUR ● TÔI 8802673 ● Sao chép bảo vệ Adobe DRM
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