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
( Harnack's inequality . ) Let ueC2 for x < a ; uEC ° for ( x | < a ; u > 0 , Au = 0 ) for ( x ] < a . Show that for ( $ < a an - 2 ( a- | $ 1 ) u ( 0 ) < u ...
This inequality can easily be derived from Parseval's identity , known from the theory of Fourier integrals , that connects the square integrals of a ...
... of similar inequalities for higher derivatives , and of Sobolev's inequality . We shall make use of the same symmetry and regularity assumptions on the ...
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