Matrix Riemann-Hilbert problems with jumps across Carleson contours.
Mon Hefte Math
; 186(1): 111-152, 2018.
Article
em En
| MEDLINE
| ID: mdl-31258193
ABSTRACT
We develop a theory of n × n -matrix Riemann-Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour Γ is a finite union of simple closed Carleson curves in the Riemann sphere. In particular, unbounded contours with cusps, corners, and nontransversal intersections are allowed. We introduce a notion of L p -Riemann-Hilbert problem and establish basic uniqueness results and Fredholm properties. We also investigate the implications of Fredholmness for the unique solvability and prove a theorem on contour deformation.
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01-internacional
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MEDLINE
Idioma:
En
Revista:
Mon Hefte Math
Ano de publicação:
2018
Tipo de documento:
Article
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Suécia