Title | Partial Differential Equations II [electronic resource] : Elements of the Modern Theory. Equations with Constant Coefficients / edited by Yu. V. Egorov, M. A. Shubin |
---|---|

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994 |

Connect to | http://dx.doi.org/10.1007/978-3-642-57876-2 |

Descript | VII, 266 p. online resource |

SUMMARY

This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics

CONTENT

I. Linear Partial Differential Equations. Elements of the Modern Theory -- II. Linear Partial Differential Equations with Constant Coefficients -- Author Index

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