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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With the field of characteristic directions with direction numbers ( a , b , c ) we associate the family of characteristic curves which at each point are ...
There is a 2 - parameter family of characteristic curves in xyz - space ( but a 3 ... y , z ) , but not the characteristic curve , which is its range ) .
Write condition ( 1.9 ) for a characteristic curve as 个( 1.10 ) ady2 – 2b dx dy + cdx2 = 0 . We can solve ( 1.10 ) for dy / dx in the form dy b + V62 - ac ...
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