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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More precisely , we assume that we have a certain region in the xy ... and of class C2 in the closed regions I and II . u and u'l together define a function ...
( 4.18 ) We divide the strip into a number of regions by the ... In region I the solution u is determined by the formula ( 4.13 ) from the initial data ...
Apply the maximum principle to a region xi + ( x2 + 1 ) 2 < a > , x2 > 0 with large a . Let 80. ] 3. The Dirichlet Problem , Green's Function ...
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