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14 p, 535.0 KB Beltrami equations in the plane and Sobolev regularity / Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
New results regarding the Sobolev regularity of the principal solution of the linear Beltrami equation (formula presented) Bf for discontinuous Beltrami coefficients μ and v are obtained, using Kato-Ponce commutators, obtaining that Bf belongs to a Sobolev space with the same smoothness as the coefficients but some loss in the integrability parameter. [...]
2018 - 10.3934/cpaa.2018018
Communications on Pure and Applied Analysis, Vol. 17, Issue 2 (March 2018) , p. 319-332  

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