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 93
( 7.3 ) Thus the differential equation restricts the possible tangent planes of an
integral surface through P , to a one - parameter family . In general * such a one -
parameter family of planes through Po can be expected to envelop a cone with ...
J For a solution of the differential equation it follows now from ( 2.6 ) that a - 26 $ '
+ 00'2 = 0 ( 2.9 ) unless 1 = 0 , that is , unless u EC2 . Recalling that ' = dx / dy ,
equation ( 2.9 ) asserts that y is a characteristic curve . According to ( 2.8 ) the ...
+ Alternately a single characteristic surface S gives rise to a partial differential
equation , when described by an explicit equation $ ( x1 , ... , xn ) = xn - 4 ( X1 , ...
, Xn - 1 ) = 0 . ( 2.27 ) Equation ( 2.24 ) in the linear case becomes a first - order ...
Comentarios de la gente - Escribir un comentario
Derechos de autor
Otras 20 secciones no mostradas