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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For then through any point P of S there passes a characteristic curve y contained in S. The tangent to y at P necessarily lies in the tangent plane of S at ...
In particular , any compact subset of 2 has a neighborhood in R ” contained in U , and a solution of the Cauchy problem contained in that neighborhood .
For e sufficiently small the support of the field is contained in a given neighborhood of Z and the S , are non - characteristic , since their normals lie ...
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