Geodesic
Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem
Problemy analiza, Tome 7 (2018) no. 3, pp. 40-49

Voir la notice de l'article provenant de la source Math-Net.Ru

We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations. One more idea is to obtain analogs of some classical theorems for such equations.
Keywords: fractals, boundary value problem, Riemann boundary value problem.
Mots-clés : non-rectifiable curves 
@article{PA_2018_7_3_a3,
     author = {D. B. Katz},
     title = {Beltrami equations revisited: {Marcinkiewicz} exponents and {Painleve-type} theorem},
     journal = {Problemy analiza},
     pages = {40--49},
     publisher = {mathdoc},
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     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2018_7_3_a3/}
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D. B. Katz. Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem. Problemy analiza, Tome 7 (2018) no. 3, pp. 40-49. http://geodesic.mathdoc.fr/item/PA_2018_7_3_a3/