Linear BVPs and SIEs for generalized regular functions in Clifford analysis

DOI10.1155/2018/6967149zbMath1391.30061OpenAlexW2801959705MaRDI QIDQ1640314

Lixia Cao, Pingrun Li

Publication date: 14 June 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6967149

zbMATH Keywords

boundary value problemsClifford analysisregular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25)

Related Items (12)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE ⋮ Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions ⋮ Singular Integral Equations of Convolution Type with Reflection and Translation Shifts ⋮ Non-normal type singular integral-differential equations by Riemann-Hilbert approach ⋮ Solvability theory of convolution singular integral equations via Riemann-Hilbert approach ⋮ The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ The solvability of a kind of generalized Riemann-Hilbert problems on function spaces \(H_{\ast }\) ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION ⋮ Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann-Hilbert method

Cites Work

• Unnamed Item
• Unnamed Item
• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• Hardy-Littlewood inequalities for fractional derivatives of invariant harmonic functions
• Cauchy integral formulae in quaternionic Hermitean Clifford analysis
• Monotonic solutions of a convolution functional-integral equation
• On non-homogeneous Cauchy-Fueter equations and Hartogs' phenomenon in several quaternionic variables
• Bounds on Sobolev norms for the defocusing nonlinear Schrödinger equation on general flat tori
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
• Two integral operators in Clifford analysis
• On solvability of a boundary value problem for singular integral equations
• Some classes of singular integral equations of convolution type in the class of exponentially increasing functions
• Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
• Some classes of equations of discrete type with harmonic singular operator and convolution
• Generalized convolution-type singular integral equations
• The finite Hartley new convolutions and solvability of the integral equations with Toeplitz plus Hankel kernels
• Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator
• One class of generalized boundary value problem for analytic functions
• On a class of singular integral equations
• Regular Functions of a Quaternionic Variable
• Two classes of linear equations of discrete convolution type with harmonic singular operators

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