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.
Resultados 1-3 de 33
( The additional assumption is needed to exclude examples like u = x2 . ) ( Hint : Take for a > 0 the harmonic function u ( x1 , x2 ) – e log / x } + ( x2 + ...
Hence W satisfies the assumptions of the uniqueness theorem on p . 216. ... 222 stays valid , if assumption ( 1.57c ) is replaced by u ( x , t ) > for xeR ...
( 2.3 ) To simplify statements we make the assumption that the coefficients a , b , c belong to Coo ( 12 ) and that they and each of their partial ...
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