000 | 03097nam a22004695i 4500 | ||
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001 | 978-3-319-02273-4 | ||
003 | DE-He213 | ||
005 | 20190213151422.0 | ||
007 | cr nn 008mamaa | ||
008 | 131118s2014 gw | s |||| 0|eng d | ||
020 |
_a9783319022734 _9978-3-319-02273-4 |
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024 | 7 |
_a10.1007/978-3-319-02273-4 _2doi |
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050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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_aMAT007000 _2bisacsh |
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_aPBKJ _2thema |
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082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aNishitani, Tatsuo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aHyperbolic Systems with Analytic Coefficients _h[electronic resource] : _bWell-posedness of the Cauchy Problem / _cby Tatsuo Nishitani. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
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300 |
_aVIII, 237 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2097 |
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505 | 0 | _aIntroduction -- Necessary conditions for strong hyperbolicity -- Two by two systems with two independent variables -- Systems with nondegenerate characteristics -- Index. | |
520 | _aThis monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contains strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby. . | ||
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aMathematical physics. | |
650 | 1 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319022727 |
776 | 0 | 8 |
_iPrinted edition: _z9783319022741 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2097 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-02273-4 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c10606 _d10606 |