Resultats globals: 6 registres trobats en 0.03 segons.
Articles, 5 registres trobats
Documents de recerca, 1 registres trobats
Articles 5 registres trobats  
1.
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  
2.
47 p, 945.5 KB Characterization for stability in planar conductivities / Faraco, Daniel (Universidad Autónoma de Madrid. Departamento de Matemáticas) ; Prats, Martí (Universidad Autónoma de Madrid. Departamento de Matemáticas)
We find a complete characterization for sets of uniformly strongly elliptic and isotropic conductivities with stable recovery in the L2 norm when the data of the Calderón Inverse Conductivity Problem is obtained in the boundary of a disk and the conductivities are constant in a neighborhood of its boundary. [...]
2018 - 10.1016/j.jde.2018.01.013
Journal of differential equations, Vol. 264, Issue 9 (May 2018) , p. 5659-5712  
3.
19 p, 574.3 KB Sharp bounds for composition with quasiconformal mappings in Sobolev spaces / Oliva, Marcos (Universidad Autónoma de Madrid. Departamento de Matemáticas) ; Prats, Martí (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Let φ be a quasiconformal mapping, and let Tφ be the composition operator which maps f to f ˝ φ. Since φ may not be bi-Lipschitz, the composition operator need not map Sobolev spaces to themselves. [...]
2017 - 10.1016/j.jmaa.2017.02.016
Journal of mathematical analysis and applications, Vol. 451, Issue 2 (July 2017) , p. 1026-1044  
4.
21 p, 324.8 KB Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion / Clop, Albert (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Hitruhin, L. (Aalto University) ; Sengupta, B. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We obtain sharp rotation bounds for the subclass of homeomorphisms of finite distortion which have distortion function in , , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. [...]
2022 - 10.1007/s12220-022-00950-y
Journal of Geometric Analysis, Vol. 32 (May 2022) , art. 212  
5.
46 p, 1.5 MB Sobolev regularity of the Beurling transform on planar domains / Prats, Martí (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Consider a Lipschitz domain Ω and the Beurling transform of its characteristic function BχΩ(z) = −p. v. 1 πz2 ∗ χΩ(z). It is shown that if the outward unit normal vector N of the boundary of the domain is in the trace space of Wn,p(Ω) (i. [...]
2017 - 10.5565/PUBLMAT6121701
Publicacions matemàtiques, Vol. 61 Núm. 2 (2017) , p. 291-336 (Articles)  

Documents de recerca 1 registres trobats  
1.
157 p, 2.5 MB Singular integral operators on sobolev spaces on domains and quasiconformal mappings / Prats, Martí ; Tolsa Domènech, Xavier, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
[Barcelona] : Universitat Autònoma de Barcelona, 2015  

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