Elliptic Partial Differential Equations with Almost-Real Coefficients

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  • Elliptic Partial Differential Equations with Almost-Real Coefficients Book Detail

  • Author : Ariel Barton
  • Release Date : 2013-04-22
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 120
  • ISBN 13 : 0821887408
  • File Size : 34,34 MB

Elliptic Partial Differential Equations with Almost-Real Coefficients by Ariel Barton PDF Summary

Book Description: 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 $q1$ small enough, and provide an endpoint result at $p=1$.

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