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Elliptic Partial Differential Equations with Almost-Real Coefficients

By: Ariel Barton (Author)

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Ksh 18,350.00

Format: Paperback or Softback

ISBN-13: 9780821887400

Publisher: American Mathematical Society

Publication Date: Jul 30th, 2013

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In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates. He shows that for such operators, the Dirichlet problem with boundary data in $L^q$ can be solved for $q<\infty$ large enough.

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