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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In general * such a one - parameter family of planes through Po can be expected to envelop a cone with vertex Po , called the Monge cone at Po ( Figure 1.3 ) ...
( x , t ) LA X X - ct x + ct Figure 2.2 Geometrically , for any parallelogram ABCD in the xt - plane bounded by four characteristic lines , ( see Figure 2.4 ) ...
Here xn er2 Z x2 = 0 - Figure 3.3 xn Z Figure 3.4 in = 0 21 Z2 Figure 86 3 Characteristic Manifolds and the Cauchy Problem.
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