Elliptic Partial Differential Equations With Almost-real Coefficients (Memoirs of the American Mathematical Society) - Softcover

Barton, Ariel

 
9780821887400: Elliptic Partial Differential Equations With Almost-real Coefficients (Memoirs of the American Mathematical Society)

Synopsis

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. <br><br>He shows that for such operators, the Dirichlet problem with boundary data in Lq can be solved for q<∞ large enough. He also shows that the Neumann and regularity problems with boundary data in Lp can be solved for p>1 small enough, and provide an endpoint result at p=1.

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About the Author

Ariel Barton, University of Minnesota, Minneapolis, MN, USA.

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