Partial Differential Equations
Springer, 1982 - 249 páginas
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy 's example of a linear equation without solutions.
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... continuous functions defined in R " for which \ s * x ) dx = 1 ; 1 f ' ( x ) = 0 for [ x - 51 > k " Show that fk → ; in the sense of distributions .
... to the uk that u can be identified with a function which is square integrable in the sense of Lebesgue in S , and for which lim S. ( 01 –v ) ? dx = 0 .
... functions y is a distribution in the sense of p . 90 . 2. Show that two elements u , v of H ( 12 ) are identical if the corresponding distributions are ...
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