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    Solution of Continuous Nonlinear PDEs through Order Completion
    Solution of Continuous Nonlinear PDEs through Order Completion
    Solution of Continuous Nonlinear PDEs through Order Completion
    Ebook403 pages6 hours

    Solution of Continuous Nonlinear PDEs through Order Completion

    By M.B. Oberguggenberger and E.E. Rosinger

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    About this ebook

    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.
    LanguageEnglish
    PublisherElsevier Science
    Release dateJul 14, 1994
    ISBN9780080872926
    Solution of Continuous Nonlinear PDEs through Order Completion

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