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Abstract The aim of this paper is to study the compound Riemann Hilbert boundary value problem in the class of Cauchy-type integral with density in variable exponent Lebesgue spaces. The… Click to show full abstract
Abstract The aim of this paper is to study the compound Riemann Hilbert boundary value problem in the class of Cauchy-type integral with density in variable exponent Lebesgue spaces. The method is transforming the Riemann Hilbert boundary value problem into a certain Hilbert one. The equivalence of the transformation is discussed. At last the conditions of solvability as well as the explicit solutions are obtained.
Keywords:
riemann hilbert;
value problem;
boundary value;
hilbert boundary
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!