Ebook: Evolution Equations of Hyperbolic and Schrödinger Type: Asymptotics, Estimates and Nonlinearities
- Tags: Partial Differential Equations, Operator Theory, Global Analysis and Analysis on Manifolds, Calculus of Variations and Optimal Control, Optimization
- Series: Progress in Mathematics 301
- Year: 2012
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area.