Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
作者： Vladimir Maz'ya
DOI: 10.4171/RLM/626
关键词:
摘要: The paper mainly concerns the results by N. Grachev and author in harmonic potential theory for polyhedra. Pointwise estimates kernels of inverse operators are presented which imply ...
ems-ph.org参考文章(7)
V. G. Maz'ya, Boundary integral equations of elasticity in domains with piecewise smooth boundaries Equadiff 6. pp. 235- 242 ,(1986) , 10.1007/BFB0076075
V. G. Mazʹi︠a︡, J. Rossmann, Elliptic Equations in Polyhedral Domains ,(2010)
Andreas Rathsfeld, The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method Applicable Analysis. ,vol. 45, pp. 135- 177 ,(1992) , 10.1080/00036819208840093
V. G. Maz’ya, Boundary Integral Equations Springer, Berlin, Heidelberg. pp. 127- 222 ,(1991) , 10.1007/978-3-642-58175-5_2
Vladimir Maz'ya, Boris Plamenevskii, The first boundary value problem for classical equations of mathematical physics in domains with piecewise-smooth boundaries. I (in Russian) Zeitschrift Fur Analysis Und Ihre Anwendungen. ,vol. 2, pp. 335- 359 ,(1983) , 10.4171/ZAA/71
Thomas S. Angell, Ralph E. Kleinman, Josef Král, Layer potentials on boundaries with corners and edges Časopis pro pěstování matematiky. ,vol. 113, pp. 387- 402 ,(1988) , 10.21136/CPM.1988.118357
Josef Král, Wolfgang Wendland, Some examples concerning applicability of the Fredholm-Radon method in potential theory Applications of Mathematics. ,vol. 31, pp. 293- 308 ,(1986) , 10.21136/AM.1986.104208