Generalized Solutions of Nonlinear Partial Differential...

Generalized Solutions of Nonlinear Partial Differential Equations

Elemer E. Rosinger
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During the last few years, several fairly systematic nonlinear theories of generalized solutions of rather arbitrary nonlinear partial differential equations have emerged. The aim of this volume is to offer the reader a sufficiently detailed introduction to two of these recent nonlinear theories which have so far contributed most to the study of generalized solutions of nonlinear partial differential equations, bringing the reader to the level of ongoing research. The essence of the two nonlinear theories presented in this volume is the observation that much of the mathematics concerning existence, uniqueness regularity, etc., of generalized solutions for nonlinear partial differential equations can be reduced to elementary calculus in Euclidean spaces, combined with elementary algebra in quotient rings of families of smooth functions on Euclidean spaces, all of that joined by certain asymptotic interpretations. In this way, one avoids the complexities and difficulties of the customary functional analytic methods which would involve sophisticated topologies on various function spaces.
الفئات:
عام:
1987
الناشر:
North-Holland
اللغة:
english
الصفحات:
211
ISBN 10:
0444703101
ISBN 13:
9780444703101
سلسلة الكتب:
Notas de matematica 119 North-Holland mathematics studies 146
ملف:
DJVU, 2.58 MB
IPFS:
CID , CID Blake2b
english, 1987
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