000 02872nam a22004575i 4500
001 978-3-540-47216-2
003 DE-He213
005 20190213151339.0
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
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aGårding, Lars.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSingularities in Linear Wave Propagation
_h[electronic resource] /
_cby Lars Gårding.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_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 _aNankai Institute of Mathematics, Tianjin, P.R. China ;
_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 _aGlobal analysis (Mathematics).
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662189511
776 0 8 _iPrinted edition:
_z9783540180012
830 0 _aNankai Institute of Mathematics, Tianjin, P.R. China ;
_v1241
856 4 0 _uhttps://doi.org/10.1007/BFb0073088
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10360
_d10360