Partial differential equations constitute an integral part of mathematics. They lie at the interface of areas as diverse as differential geometry, functional analysis, or the theory of Lie groups and have numerous applications in the applied sciences. A wealth of methods has been devised for their analysis. Over the past decades, operator algebras in connection with ideas and structures from geometry, topology, and theoretical physics have contributed a large variety of particularly useful tools. One typical example is the analysis on singular configurations, where elliptic equations have...
Partial differential equations constitute an integral part of mathematics. They lie at the interface of areas as diverse as differential geometry, fun...
This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations."
This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied m...
This volume contains the proceedings of "PDE 2000," the international conference on partial differential equations held July 24 -28, 2000, in Clausthal. The confer- ence took place during the EXPO 2000 and was sponsored by the Land Nieder- sachsen, the Deutsche Forschungsgemeinschaft, the Bergstadt Clausthal-Zellerfeld and the Kreissparkasse Clausthal-Zellerfeld. This conference continues a series: Ludwigfelde 1976, Reinhardsbrunn 1985, Holz- hau 1988, Breitenbrunn 1990, Lambrecht 1991 (proceedings in Operator Theory: Advances and Applications, Vol. 57, Birkhauser Verlag 1992), Potsdam 1992...
This volume contains the proceedings of "PDE 2000," the international conference on partial differential equations held July 24 -28, 2000, in Claustha...
In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.
In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theo...
Fachzeitschriften und Wirtschaftszeitungen haben in letzter Zeit in der Berichterstattung und Analyse von Finanzinnovationen einen neuen Schwerpunkt gefunden. Dabei erfolgen die Anderungen so schnell, daB es selbst Bankpraktikem nicht mehr moglich ist, die neuen Instrumente en detail zu analysieren und zu bewerten. Bisherige Monographien oder Sammelbande berichten entweder zu breit oder selektiv tiber einzelne Instrumente. Daher ist es das Anliegen der Arbeit von Michael Demuth, eine systematische und detaillierte Beschreibung und Analyse von Finanzinnovationen fUr den wichtigen Bereich der...
Fachzeitschriften und Wirtschaftszeitungen haben in letzter Zeit in der Berichterstattung und Analyse von Finanzinnovationen einen neuen Schwerpunkt g...
This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on...
This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading...