The book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators, spectral properties and complex powers of hypoelliptic operators, Schatten-von Neumann classes, the Connes-Wodzicki residue in Euclidean spaces, exponential decay of eigenfunctions, regularity and decay of homoclinics for semilinear equations, travelling waves. The book is completely self-contained and accessible to graduate students. Addresses global pseudo-differential calculus and hypoellipticity. Includes classic calculus as a special case. Gives several applications to global problems in Euclidean spaces, including non-linearPDEs INDICE: Background Material.- Global Pseudo-differential Calculus.- Globally Hypoelliptic PDEs.- Spectral Properties of Pseudo-differential Operators.- Other Applications.- Appendix.- Bibliography.- Index.
- ISBN: 978-3-7643-8511-8
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 350
- Fecha Publicación: 01/05/2008
- Nº Volúmenes: 1
- Idioma: Inglés