Title | Partial Differential Equations VIII [electronic resource] : Overdetermined Systems Dissipative Singular Schrรถdinger Operator Index Theory / edited by M. A. Shubin |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1996 |

Connect to | http://dx.doi.org/10.1007/978-3-642-48944-0 |

Descript | VII, 261 p. online resource |

SUMMARY

This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples

CONTENT

I. Linear Overdetermined Systems of Partial Differential Equations. Initial and Initial-Boundary Value Problems -- II. Spectral Analysis of a Dissipative Singular Schrรถdinger Operator in Terms of a Functional Model -- III. Index Theorems -- Author Index

Mathematics
Algebraic geometry
Mathematical analysis
Analysis (Mathematics)
Physics
Mathematics
Analysis
Algebraic Geometry
Mathematical Methods in Physics
Numerical and Computational Physics