000 | 02988nam a22005055i 4500 | ||
---|---|---|---|
001 | 978-3-540-69545-5 | ||
003 | DE-He213 | ||
005 | 20190213151551.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1997 gw | s |||| 0|eng d | ||
020 |
_a9783540695455 _9978-3-540-69545-5 |
||
024 | 7 |
_a10.1007/BFb0093368 _2doi |
|
050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
|
072 | 7 |
_aMAT007000 _2bisacsh |
|
072 | 7 |
_aPBKJ _2thema |
|
082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aDix, Daniel B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aLarge-time Behavior of Solutions of Linear Dispersive Equations _h[electronic resource] / _cby Daniel B. Dix. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1997. |
|
300 |
_aXIV, 203 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 ; _v1668 |
|
505 | 0 | _aLaplace expansions, outer regions -- Expansion in the inner region, Matching -- Uniformly Valid Expansions for large time -- Special Results for Special Cases -- Applications: Self-similar asymptotic approximations; Sharp Ls decay estimates, Smoothing Effects; Asymptotic balance for large time; Asymptotic behavior for large x -- Reference -- Subject Index. | |
520 | _aThis book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest descent much new information on the regularity and spatial asymptotics of the solutions are also obtained. Applications to nonlinear dispersive equations are discussed. This monograph is intended for researchers and graduate students of partial differential equations. Familiarity with basic asymptotic, complex and Fourier analysis is assumed. | ||
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aFourier analysis. | |
650 | 1 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662201893 |
776 | 0 | 8 |
_iPrinted edition: _z9783540634348 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1668 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093368 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11126 _d11126 |