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A note on elliptic first order systems in the plane and the Vekua Equation with structure polynomial X² + β X + α
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A note on elliptic first order systems in the plane and the Vekua Equation with structure polynomial X² + β X + α
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This note deals with the following problem: under which conditions can elliptic first order systems in the plane be complex-rewritten as a parameter-depending Vekua-type equation?
Forward citations
Cited by 2 Pith papers
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The Pseudo-Analytic Mass of a Beltrami-Vekua Equation
A gauge-invariant 2-form Θ = |B|^2 / (1 - |μ|^2) dx dy yields a pseudo-analytic mass whose integral vanishes on analytic equations (B ≡ 0) and separates inequivalent classes on the disk.
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The Absorption Theorem for the Beltrami-Vekua Normal Form
Proves that re-normalizing the Beltrami-Vekua normal form after any pointwise invertible real-linear substitution of unknowns returns to the gauge orbit of the original equation via the explicit gauge ilde{\varphi}=-...
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