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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1.1 ) If for each fixed t the function u is represented by its graph in the xu ... The graph of the solution represents a wave propagating to the right with ...
( 5.14 ) a ( xo , Yo , Zo ) b ( XoYo , zo ) Thus ( 5.14 ) guarantees that locally ( 5.6 ) represents a surface E : z = u ( x , y ) .
( 4.13 ) X - ct e see For feC2 and gec ! this actually represents a solution ueC2 of the initial - value problem ( 4.1 ) , ( 4.8 ) .
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