Dirichlet and Neumann boundary values of solutions to higher order elliptic equations

Author:

Barton Ariel,Hofmann Steve,Mayboroda Svitlana

Publisher

Cellule MathDoc/CEDRAM

Subject

Geometry and Topology,Algebra and Number Theory

Reference67 articles.

1. [1] Adolfsson, Vilhelm; Pipher, Jill The inhomogeneous Dirichlet problem for Δ 2 in Lipschitz domains, J. Funct. Anal., Volume 159 (1998) no. 1, pp. 137-190

2. [2] Agmon, Shmuel Multiple layer potentials and the Dirichlet problem for higher order elliptic equations in the plane. I, Commun. Pure Appl. Math., Volume 10 (1957), pp. 179-239

3. [3] Agranovich, Mikhail S. On the theory of Dirichlet and Neumann problems for linear strongly elliptic systems with Lipschitz domains, Funkts. Anal. Prilozh., Volume 41 (2007) no. 4, pp. 1-21 (English translation: Funct. Anal. Appl. 41 (2007), no. 4, p. 247-263)

4. [4] Agranovich, Mikhail S. Potential-type operators and conjugation problems for second-order strongly elliptic systems in domains with a Lipschitz boundary, Funkts. Anal. Prilozh., Volume 43 (2009) no. 3, pp. 3-25

5. [5] Alfonseca, M. Angeles; Auscher, Pascal; Axelsson, Andreas; Hofmann, Steve; Kim, Seick Analyticity of layer potentials and L 2 solvability of boundary value problems for divergence form elliptic equations with complex L ∞ coefficients, Adv. Math., Volume 226 (2011) no. 5, pp. 4533-4606

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