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 36
Along a noncharacteristic curve the Cauchy data uniquely determine the second
derivatives of u on y . As a matter of fact , we can then also find successively the
values of all higher derivatives of u on y , as far as they exist . We obtain , e.g. ...
We are to find a solution u near S which has these Cauchy data on S. We call S
noncharacteristic if we can get all D'u for sal = m on S from the linear algebraic
system of equations consisting of the compatibility conditions for the data and the
But the restriction to analytic Cauchy data and solutions is unrealistic . It implies
that the solution is determined globally by local conditions near one point , and
makes it impossible to describe phenomena that do not interact instantaneously ...
Comentarios de la gente - Escribir un comentario
Derechos de autor
Otras 20 secciones no mostradas