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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Equation ( 7.1 ) can be viewed as a relation between the coordinates ( x , y , z ) of a point on an integral surface and the direction of the normal of the ...
Here Y , can also be obtained from yo by laying off a fixed distance ct along each normal of Yo Thus Yi is also the curve of constant “ normal distance ” ct ...
They cannot be given arbitrarily but have to satisfy the compatibility conditions valid on S for all functions regular near S ( instead normal derivatives ...
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