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 47
... the somewhat simpler case of a quasi - linear equation a ( x , y , uhur + b ( x , y , u ) ų , = c ( x , y , u ) . ( 4.2 ) We represent the function u ( x , y ) by a surface z = u ( x , y ) in xyz - space . Surfaces corresponding ...
An eigenfunction v ( x ) corresponding to the eigenvalue is a solution of Δυ ( x ) + λυ ( x ) = 0 for xΕΩ ( 1.62a ) v ( x ) = 0 for xe as , ( 1.62b ) where v does not vanish identically . Under appropriate regularity assumptions on 2 ...
Consider the monotone increasing sequence of lattices , corresponding to the choices h = 2- " , k = 12-2v for v = 1,2 , .... Denote by o ' the solution of ( 2.5a , b ) corresponding to £ ,. If U is the union of all 2 , and ( x , t ) a ...
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