Nonlinear Approximation Rates and Besov Regularity for Elliptic PDEs on Polyhedral Domains
作者： Markus Hansen
DOI: 10.1007/S10208-014-9224-X
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摘要: We investigate the Besov regularity for solutions of elliptic PDEs. This is based on regularity results in Babuska–Kondratiev spaces. Following the argument of Dahlke and DeVore, we …
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Stephan Dahlke, Winfried Sickel, Besov Regularity for the Poisson Equation in Smooth and Polyhedral Cones Springer, New York, NY. pp. 123- 145 ,(2009) , 10.1007/978-0-387-85650-6_7
V. Kozlov, V. Maz’ya, J. Rossmann, Elliptic Boundary Value Problems in Domains with Point Singularities Mathematical Surveys and Monographs. ,vol. 52, ,(2002) , 10.1090/SURV/052
Hans Triebel, Theory of Function Spaces III ,(2008)
Function Spaces on Domains Springer, Basel. pp. 188- 211 ,(1983) , 10.1007/978-3-0346-0416-1_3
Yves Meyer, Wavelets and Operators ,(1993)
Elias M. Stein, Singular Integrals and Differentiability Properties of Functions. ,(1971)
V. Maz’ya, V. Kozlov, J. Rossmann, Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations ,(2000)
Hans Triebel, Theory of function spaces ,(1983)
Benjamin Muckenhoupt, Hardy's inequality with weights Studia Mathematica. ,vol. 44, pp. 31- 38 ,(1972) , 10.4064/SM-44-1-31-38
D. Jerison, C.E. Kenig, The Inhomogeneous Dirichlet Problem in Lipschitz Domains Journal of Functional Analysis. ,vol. 130, pp. 161- 219 ,(1995) , 10.1006/JFAN.1995.1067