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.
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The Dirichlet Problem , Green's Function , and Poisson's Formula We derived the representation ( 1.23 ) for u in terms of Cauchy data , involving a ...
Solution of the Dirichlet Problem by Hilbert - Space Methods * A variety of methods have been invented to solve the Dirichlet problem for the Laplace ...
of AU = 0 in 2 , U = f on an minimizes the Dirichlet integral ( U ... Consider the Dirichlet problem for n = 2 with 2 being the unit disk referred to polar ...
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