TY  - BOOK
AU  - Oberguggenberger,Michael B.
AU  - Rosinger,Elemer E.
TI  - Solution of continuous nonlinear PDEs through order completion
T2  - North-Holland mathematics studies
SN  - 9780444820358
AV  - QA372 .O33 1994eb
U1  - 515/.353 22
PY  - 1994///
CY  - Amsterdam, New York
PB  - North-Holland
KW  - Differential equations, Nonlinear
KW  - Numerical solutions
KW  - Parti�ele differentiaalvergelijkingen
KW  - gtt
KW  - Niet-lineaire vergelijkingen
KW  - Equations diff�erentielles non lin�eaires
KW  - Solutions num�eriques
KW  - ram
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references (p. 421-428) and index
N2  - 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
UR  - http://www.sciencedirect.com/science/book/9780444820358
UR  - http://www.sciencedirect.com/science/publication?issn=03040208&volume=181
ER  -