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.
Resultados 1-3 de 52
( 3.9 ) m = 0 Clearly the domain of dependence for v ( x , t ) = v ( x , nk ) consists of the set of points x , x + h , x + 2h , x + nh ( 3.10 ) on the x - axis , all of which lie between x and x + nh . The domain of the differential ...
A closed set RcR " is called a domain of determinacy for Z ( with respect to L ) if every solution u of class CM of Lu = 0 in R vanishes if its Cauchy data on 2 vanish . I The uniqueness theorem just proved permits to construct domains ...
Then R is a domain of determinacy for Z. ( Hint : Find an appropriate field of hyperboloids ) . 3. ( Time - like Cauchy problem for the wave equation ) . Take the wave equation Lu = 0 ( 5.7a ) Ux3x3 – Ux1x1 — Ux2x2 u ...
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