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Solution of Continuous Nonlinear PDEs through Order Completion eBook
$72.95 Original price was: $72.95.$50.00Current price is: $50.00.
By: Oberguggenberger, M.B.; Rosinger, E.E.
Publisher: North Holland
Print ISBN: 9780444820358, 0444820353
eText ISBN: 9780444820358, 9780080872926, 0080872921
Pages: 431
eText ISBN: 9780444820358
SKU: 9780444820358
Category: Trending
Tags: Differential Equations, mathematics
Print ISBN: 9780444820358
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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