Solution of Continuous Nonlinear Pdes Through Order Completion (North-Holland Mathematics Studies)

Rosinger, Elemer E., Oberguggenberger, Michael B.

ISBN 10: 0444820353 / ISBN 13: 9780444820358

Published by North-Holland, 1994

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Seller Inventory # mon0000423367

Bibliographic Details

• Title: Solution of Continuous Nonlinear Pdes Through Order Completion (North-Holland Mathematics Studies)
• Publisher: North-Holland
• Publication Date: 1994
• Language: English
• ISBN 10: 0444820353
• ISBN 13: 9780444820358
• Binding: Hardcover
• Condition: Fine

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Synopsis

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.