Buch, Englisch, Band 166, 160 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 392 g
Buch, Englisch, Band 166, 160 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 392 g
Reihe: Cambridge Tracts in Mathematics
ISBN: 978-0-521-84622-6
Verlag: Cambridge University Press
The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well-developed in recent years and this book is the first systematic treatment of the Lévy-Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy-Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang-Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Introduction; 1. The Lévy Laplacian; 2. Lévy-Laplace operators; 3. Symmetric Lévy-Laplace operators; 4. Harmonic functions of infinitely many variables; 5. Linear elliptic and parabolic equations with Lévy Laplacians; 6. Quasilinear and nonlinear elliptic equation with Lévy Laplacians; 7. Nonlinear parabolic equations with Lévy Laplacians; 8. Appendix. Lévy-Dirichlet forms and associated Markov processes; Bibliography; Index.
