Local Ck─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C1─boundary

Abstract

Abstract: The real analyticity of a-closed (p,q)-form Koppelman-Leray operator Tp,g is considered in this paper,and as a generation of [1],the integral solution operators of the eqution on an open set D with piecewise C'-boundary locally preserve the real analyticity of a= closed(p,q)-forms at boundary point near which aD is totally convex in the complex tangential directions have been obtained.

Key words: , real analytic boundary, a-equations, Koppelman-Leray operator ,

CLC Number:

O241

Ma Zhongtai. Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary[J]. Chinese Quarterly Journal of Mathematics, 1995, 10(1): 87-92.

[1]	ZHANG Xiao-cang, XU Li-ping. High Energy Normalized Solutions for the Schrödinger Equations with Exponential Critical Growth [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 1-19.
[2]	韩书书, 韦煜明. Power Options Pricing under Markov Regime-Switching Two-Factor Stochastic Volatility Jump-Diffusion Model [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 59-73.
[3]	ZHANF An-lei, LIU Bing-chen. Blow-Up Solutions in a Parabolic Equation with Variable Coefficients and Memory Boundary Flux [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 74-81.
[4]	ZHU Ting, YANG Liu. On α-Bloch Functions in Several Complex Variables [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 93-102.
[5]	YANG Zi-xian, BAI Jian-chao. A Novel Property of Generalized Fibonacci Sequence in Grids [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 103-110.
[6]	LI Ping, LI Feng-jie. Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 331-354.
[7]	PEI Ke-ke, LONG Pin-hong, LIU Jin-lin, GANGADHARAN Murugusundaramoorthy. Fekete-Szegö Inequalities and the Symmetric Toeplitz Determinants for Certain Analytic Function Class Involving q-Differintegral Operator [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 366-378.
[8]	JI Lin-xing, ZHANG Ke, HU Wen-jun. Independence Polynomials and the Merrifield-Simmons Index of Mono-Layer Cylindrical Grid Graphs [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 379-387.
[9]	WANG Hui-man, SHEN Pei-ping, LIANG Yu-xin. Branch and Bound Algorithm for Globally Solving Minimax Linear Fractional Programming [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 388-398.
[10]	DENG Jing-tao. The Hyers-Ulam Stability and Hyers-Ulam Instability for Some Nonhomogeneous Ordinary Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 420-430.
[11]	WEI Li-yang, LI Feng. Italian Domination of Strong Product of Two Paths [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 221-234.
[12]	LI Xiang, YU Bo, TANG Qiong. Factorized Smith Method for A Class of High-Ranked Large-Scale T-Stein Equations [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 235-249.
[13]	LI Nan, ZHAO Hui-yan, XU Li-ping. Normalized Ground State Solutions of Nonlinear Choquard Equations with Nonconstant Potential [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 250-261.
[14]	ZHANG Wen-wen, LI Ping-run. On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 262-269.
[15]	LI Ran, LIAN Tie-yan. Ostrowski’s Type Inequalities for Generalized (h,m)−Preinvex Functions with Its Applications [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 270-287.

Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments