New Method for Solving Large Classes of Nonlinear Systems of PDEs

作者: Elemer E Rosinger

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摘要: The essentials of a new method in solving very large classes nonlinear systems PDEs, possibly associated with initial and/or boundary value problems, are presented. PDEs can be defined by continuous, not necessarily smooth expressions, and the solutions obtained cab assimilated usual measurable functions, or even Hausdorff continuous ones. respective result sets aside completely, margin, celebrated 1957 impossibility Hans Lewy regarding nonexistence solution distributions linear coefficient PDEs.

参考文章(5)
Michael B. Oberguggenberger, Elemer E. Rosinger, Solution of Continuous Nonlinear Pdes Through Order Completion ,(1994)
Elemer Elad Rosinger, Can there be a general nonlinear PDE theory for existence of solutions arXiv: Analysis of PDEs. ,(2004)
Roumen Anguelov, Elemer E Rosinger, Hausdorff continuous solutions of nonlinear PDEs through the order completion method arXiv: Analysis of PDEs. ,(2004)
Roumen Anguelov, Elemer E Rosinger, Solving large classes of nonlinear systems of PDEs arXiv: Analysis of PDEs. ,(2005)