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  • SOLUTION OF CONTINUOUS NONLINEAR PDES THROUGH ORDER COMPLETION
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    SOLUTION OF CONTINUOUS NONLINEAR PDES THROUGH ORDER COMPLETION
    OBERGUGGENBERGER, M.B. / ROSINGER, E.E.
    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 inde...

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