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LEADER: 03228fam a2200373 a 4500
001 1690593
005 20220608212850.0
008 950707t19961996nyu b 001 0 eng
010 $a 95024573
020 $a0824793285 (alk. paper)
035 $a(OCoLC)32859772
035 $a(OCoLC)ocm32859772
035 $9AKY8155CU
035 $a(NNC)1690593
035 $a1690593
040 $aDLC$cDLC$dNNC$dOrLoB
050 00 $aQA927$b.K43 1996
082 00 $a531/.1133/01515355$220
100 1 $aKichenassamy, Satyanad,$d1963-$0http://id.loc.gov/authorities/names/n95066724
245 10 $aNonlinear wave equations /$cSatyanad Kichenassamy.
260 $aNew York :$bMarcel Dekker,$c[1996], ©1996.
263 $a9509
300 $axiii, 276 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMonographs and textbooks in pure and applied mathematics ;$v194
504 $aIncludes bibliographical references and indexes.
505 00 $g1.$tLinear Wave Propagation.$g1.1.$tThe Fourier transform.$g1.2.$tThe Sobolev inequality.$g1.3.$tThe initial-value problem.$g1.4.$tDecay estimates.$g1.5.$tPropagation of singularities.$g1.6.$tWhat is a wave? --$g2.$tLocal and Global Existence.$g2.1.$tThe analytic Cauchy problem.$g2.2.$tThe energy method.$g2.3.$tSemi-group techniques.$g2.4.$tGlobal existence for small data.$g2.5.$tOther iteration techniques --$g3.$tSingularity Formation.$g3.1.$tCriteria for breakdown.$g3.2.$tPropagation of weak singularities.$g3.3.$tShock waves.$g3.4.$tModels for singularity formation --$g4.$tSolitons and Inverse Scattering.$g4.1.$tUniversal equations.$g4.2.$tIsospectrality.$g4.3.$tThe Korteweg-de Vries equation.$g4.4.$tThe AKNS systems.$g4.5.$tRiemann-Hilbert and [theta] formulations.$g4.6.$tCriteria for integrability --$g5.$tPerturbation Methods.$g5.1.$tPerturbation of spectra.$g5.2.$tImplicit function theorems.$g5.3.$tNonlinear geometrical optics.$g5.4.$tWhitham's theory.$g5.5.$tSoliton perturbation.
505 80 $g5.6.$tApplication of invariant manifold theory --$g6.$tGeneral Relativity.$g6.1.$tPreliminaries.$g6.2.$tEinstein's equations.$g6.3.$tThe Cauchy problem.$g6.4.$tLinearization stability and perturbations.$g6.5.$tSingularities and cosmic censorship.$g6.6.$tExact solutions.
520 $aThis up-to-date reference/text examines the mathematical aspects of nonlinear wave propagation - emphasizing nonlinear hyperbolic problems - and introduces the most effective tools for the study of perturbation methods and for exploring global existence, singularity formation, and large-time behavior of solutions.
520 8 $aContaining key bibliographic citations, Nonlinear Wave Equations is an excellent reference for mathematical analysts and industrial and applied mathematicians; electrical and electronics, aerospace, mechanical, control, systems, and computer engineers; and physicists; as well as an invaluable text for graduate-level students in these disciplines with an understanding of partial differential equations.
650 0 $aNonlinear wave equations.$0http://id.loc.gov/authorities/subjects/sh89005869
830 0 $aMonographs and textbooks in pure and applied mathematics ;$v194.
852 00 $bmat$hQA927$i.K43 1996