000 02742nam a22004575i 4500
001 978-3-540-47216-2
003 DE-He213
005 20160624101826.0
007 cr nn 008mamaa
008 121227s1987 gw | s |||| 0|eng d
020 _a9783540472162
_9978-3-540-47216-2
024 7 _a10.1007/BFb0073088
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aGårding, Lars.
_eauthor.
245 1 0 _aSingularities in Linear Wave Propagation
_h[electronic resource] /
_cby Lars Gårding.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1987.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1987.
300 _aVI, 126 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1241
505 0 _aSingularities in linear wave propagation -- Hyperbolic operators with constant coefficients -- Wave front sets and oscillatory integrals -- Pseudodifferential operators -- The Hamilton-Jacobi equation and symplectic geometry -- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator -- Changes of variables and duality for general oscillatory integrals -- Sharp and diffuse fronts of paired oscillatory integrals.
520 _aThese lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540180012
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1241
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0073088
942 _2EBK1540
_cEBK
999 _c30834
_d30834