Solution of Continuous Nonlinear PDEs through Order Completion
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Solution of Continuous Nonlinear PDEs through Order Completion

M.B. Oberguggenberger, E.E. Rosinger


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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.

About the book
Author
  M.B. Oberguggenberger , E.E.  Rosinger
Imprint
North Holland
Collection
n.c
Publication date
1994-07-14
Pages
431 pages
Print ISBN
9780444820358
Language
English
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