Abstract
We consider the generalized Cauchy–Riemann system with nonlinear terms in an arbitrary domain of the complex space. Under some natural conditions on the coefficients and compatibility conditions, we prove solvability of this system in the space of locally square integrable functions.
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Medzhidov, Z.G. L2-Estimates and Existence Theorems for Generalized Analytic Functions in Several Variables. Siberian Mathematical Journal 45, 699–708 (2004). https://doi.org/10.1023/B:SIMJ.0000035833.36497.fb
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DOI: https://doi.org/10.1023/B:SIMJ.0000035833.36497.fb