About traces, extensions, and co-normal derivative operators on lipschitz domains

Integral Methods in Science and Engineering: Techniques and Applications

Volumn , Issue , 2008, Pages 149-160

  Mikhailov, S E ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77249174637     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-0-8176-4671-4_18     Document Type: Conference Paper

References (9)

1. Costabel, M.: Boundary integral operators on Lipschitz domains: elementary results. SIAM J. Math. Anal., 19, 613-626 (1988).
2. Grisvard, P.: Elliptic Problems in Nonsmooth Domains. Pitman, BostonLondon-Melbourne (1985).
3. Jerison, D.S., Kenig, C.: The Dirichlet problem in non-smooth domains. Ann. Math., 113, 367-382 (1981).
4. Jerison, D.S., Kenig, C.: The Neumann problem on Lipschitz domains. Bull. Amer. Math. Soc., 4, 203-207 (1981).
5. Jerison, D., Kenig, C.: Boundary value problems on Lipschitz domains. In: Littman, W. (ed.), Studies in Partial Differential Equations, MAA (1982), pp. 1-68.
6. McLean, W.: Strongly Elliptic Systems and Boundary Integral Equations. Cambridge University Press, Cambridge (2000).
7. Mikhailov, S.E.: Analysis of extended boundary-domain integral and integro-differential equations of some variable-coefficient BVP. In: Chen, K. (ed.), Advances in Boundary Integral Methods. University of Liverpool Publications, Liverpool (2005), pp. 106-125.
8. Mikhailov, S.E.: Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. Math. Methods Appl. Sci., 29, 715-739 (2006).
9. Verchota, G.: Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains. J. Functional Anal., 59, 572-611 (1984).