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In this chapter we collect some background results pertaining to weakly elliptic systems and boundary layer potentials. The discussion presented here is based on [GHA-V, Chapter 1]. To set the stage, fix n ∈ ℕ with n ≥ 2, along with some M ∈ N, and consider a second-order, homogeneous, constant complex coefficient, M × M system L in ℝn which may be written as

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Weakly Elliptic Systems, and Layer Potentials on UR Domains

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  • 发表日期：

    2026年

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  • Marius Mitrea,
  • Pedro Takemura

摘要

In this chapter we collect some background results pertaining to weakly elliptic systems and boundary layer potentials. The discussion presented here is based on [GHA-V, Chapter 1]. To set the stage, fix n ∈ ℕ with n ≥ 2, along with some M ∈ N, and consider a second-order, homogeneous, constant complex coefficient, M × M system L in ℝn which may be written as