| 000 | 02572nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-46655-0 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151539.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1991 gw | s |||| 0|eng d | ||
| 020 |
_a9783540466550 _9978-3-540-46655-0 |
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| 024 | 7 |
_a10.1007/BFb0090882 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBK _2thema |
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| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aKajitani, Kunihiko. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 4 |
_aThe Hyperbolic Cauchy Problem _h[electronic resource] / _cby Kunihiko Kajitani, Tatsuo Nishitani. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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| 300 |
_aVIII, 172 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1505 |
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| 520 | _aThe approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey classes for operators with hyperbolic principal part is shown in the first part. In the second part, the correctness of the Cauchy problem for effectively hyperbolic operators is proved with a precise estimate of the loss of derivatives. This method can be applied to other (non) hyperbolic problems. The text is based on a course of lectures given for graduate students but will be of interest to researchers interested in hyperbolic partial differential equations. In the latter part the reader is expected to be familiar with some theory of pseudo-differential operators. | ||
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 700 | 1 |
_aNishitani, Tatsuo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662191026 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540550181 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1505 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0090882 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c11050 _d11050 |
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