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221028 ||| eng |
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|a 9780444820358
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|a 0080872921
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|a 128198471X
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|a 9780080872926
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|a 0444820353
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4 |
|a QA372
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|a Oberguggenberger, Michael B.
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|a Solution of continuous nonlinear PDEs through order completion
|c Michael B. Oberguggenberger, Elemér E. Rosinger
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| 260 |
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|a Amsterdam
|b North-Holland
|c 1994, 1994
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| 300 |
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|a xvi, 432 pages
|b illustrations
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|a Includes bibliographical references (pages 421-428) and index
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|a pt. 1. General existence of solutions theory -- pt. 2. Applications to specific classes of nonlinear and linear PDEs -- pt. 3. Group invariance of global generalized solutions of nonlinear PDEs
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| 653 |
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|a Differential equations, Nonlinear / Numerical solutions / http://id.loc.gov/authorities/subjects/sh85037908
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| 653 |
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|a MATHEMATICS / Differential Equations / Partial / bisacsh
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| 653 |
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|a Differential equations, Nonlinear / Numerical solutions / fast / (OCoLC)fst00893478
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| 653 |
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|a Differential equations
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| 653 |
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|a Equations différentielles non linéaires / Solutions numériques / ram
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| 653 |
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|a Partiële differentiaalvergelijkingen / gtt
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| 653 |
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|a Niet-lineaire vergelijkingen / gtt
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| 653 |
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|a Équations différentielles non linéaires / Solutions numériques
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| 700 |
1 |
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|a Rosinger, Elemer E.
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| 041 |
0 |
7 |
|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 |
0 |
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|a North-Holland mathematics studies
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| 776 |
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|z 0080872921
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| 776 |
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|z 9780080872926
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| 856 |
4 |
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|u https://www.sciencedirect.com/science/bookseries/03040208/181
|x Verlag
|3 Volltext
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|a 515/.353
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| 520 |
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|a This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function
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