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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We only have to determine 1 , , v in such a way that equations ( 9.4a ... z , P , 9 ) = 0 holds for all elements determined from ( 9.4a , b ) as well as for ...
Then f is determined uniquely in 12 if we know the Daf ( 2 ) for all a e Z " . In particular f is determined uniquely in $ 2 by its values in any non ...
Thus : A solution ueC2 ( ) of the Dirichlet problem is determined uniquely . A solution ueC ? ) of the Neumann problem is determined uniquely within an ...
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