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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Obviously only the direction of the vector , the characteristic direction , matters for the P.D.E. ( 4.2 ) . Since ( ux , Uy , - 1 ) constitute direction ...
we know from the theory of O.D.E.s that through each point of N there passes exactly one characteristic curve . There is a 2 - parameter family of ...
+ Alternately a single characteristic surface S gives rise to a partial differential equation , when described by an explicit equation $ ( x1 , ...
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