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221028 ||| eng |
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|a 9781281789297
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|a 0080872751
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|a 9786611789299
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|a 1281789291
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|a 9780444887009
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|a 9780080872759
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|a 0444887008
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|a QA377
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|a Rosinger, Elemer E.
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|a Non-linear partial differential equations
|b an algebraic view of generalized solutions
|c Elemér E. Rosinger
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|a Amsterdam
|b North-Holland
|c 1990, 1990
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| 300 |
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|a xxi, 380 pages
|b illustrations
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|a Includes bibliographical references (pages 371-380)
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|a Front Cover; Non-Linear Partial Differential Equations: An Algebraic View of Generalized Solutions; Copyright Page; Table of Content; CHAPTER 1 CONFLICT BETWEEN DISCONTINUITY, MUTLIPLICATION AND DIFFERENTIATION; CHAPTER 2 GLOBAL VERSION OF THE CAUCHY KOVALEVSKAIA THEOREM ON ANALYTIC NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; CHAPTER 3 ALGEBRAIC CHARACTERIZATION FOR THE SOLVABILITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; CHAPTER 4 GENERALIZED SOLUTIONS OF SEMILINEAR WAVE EQUATIONS WITH ROUGH INITIAL VALUES.
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|a Kongress / gnd
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|a MATHEMATICS / Differential Equations / Partial / bisacsh
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|a Differential equations, Partial / http://id.loc.gov/authorities/subjects/sh85037912
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| 653 |
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|a Differential equations
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|a Equations différentielles non linéaires / ram
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| 653 |
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|a Equations aux dérivées partielles / ram
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| 653 |
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|a Differential equations, Partial / fast / (OCoLC)fst00893484
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| 653 |
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|a Differential equations, Nonlinear / fast / (OCoLC)fst00893474
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|a Équations différentielles non linéaires
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|a Differential equations, Nonlinear / http://id.loc.gov/authorities/subjects/sh85037906
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|a Nichtlineare partielle Differentialgleichung / gnd / http://d-nb.info/gnd/4128900-6
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|a Équations aux dérivées partielles
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
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|a North-Holland mathematics studies
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| 500 |
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002
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|z 0080872751
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|z 9780080872759
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|u https://www.sciencedirect.com/science/bookseries/03040208/164
|x Verlag
|3 Volltext
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|a 515/.353
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|a A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades. The availability of better computers has often made numerical experimentations progress faster than the theoretical understanding of nonlinear partial differential equations. The three most important nonlinear phenomena observed so far both experimentally and numerically, and studied theoretically in connection with such equations have been the solitons, shock waves and turbulence or chaotical processes. In many ways, these phenomena have presented increasing difficulties in the mentioned order. In particular, the latter two phenomena necessarily lead to nonclassical or generalized solutions for nonlinear partial differential equations
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