Solution of Continuous Nonlinear Pdes Through Order Completion (North-holland Mathematical Library) by Michael B. Oberguggenberger (PDF)

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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 unknown function. Furthermore, the right hand term of such nonlinear PDEs can be given any discontinuous and measurable function. Annotation copyright Book News, Inc. Portland, Or.

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