Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains

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[1]  L. Schwartz.  Su alcuni problemi della teoria delle equazioni differenziali lineari di tipo ellittico , 1957 .

[2]  S. Agmon.  Lectures on Elliptic Boundary Value Problems , 1965 .

[3]  C. Kenig,et al.  The Dirichlet problem in non-smooth domains , 1981 .

[4]  W. S. Venturini.  Boundary Integral Equations , 1983 .

[5]  Analysis of extended boundary-domain integral and integro-differential equations of some variable-coefficient BVP , 2005 .

[6]  Zhonghai Ding,et al.  A proof of the trace theorem of Sobolev spaces on Lipschitz domains , 1996 .

[7]  David Jerison,et al.  The Neumann problem on Lipschitz domains , 1981 .

[8]  Walter Littman,et al.  Studies in partial differential equations , 1982 .

[9]  S. Mikhailov.  Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients , 2009, 0906.3875.

[10]  G. Verchota.  Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains , 1984 .

[11]  Sergey E. Mikhailov.  Analysis of united boundary‐domain integro‐differential and integral equations for a mixed BVP with variable coefficient , 2006 .

[12]  P. Glendinning.  Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations , 1994 .

[13]  Zhongwei Shen.  The Lp boundary value problems on Lipschitz domains , 2006 .

[14]  C. Constanda,et al.  Integral methods in science and engineering : techniques and applications , 2008 .

[15]  W. McLean.  Strongly Elliptic Systems and Boundary Integral Equations , 2000 .

[16]  W. Wendland,et al.  Brinkman-type Operators on Riemannian Manifolds: Transmission Problems in Lipschitz and C1 Domains , 2010 .

[17]  Zhongwei Shen,et al.  Boundary Value Problems on Lipschitz Domains , 2008 .

[18]  Михаил Семенович Агранович,et al.  Спектральные задачи для сильно эллиптических систем второго порядка в областях с гладкой и негладкой границей@@@Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains , 2002 .

[19]  S. Mikhailov.  Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains , 2013 .

[20]  Martin Costabel,et al.  Boundary Integral Operators on Lipschitz Domains: Elementary Results , 1988 .

[21]  J. Lions,et al.  Non-homogeneous boundary value problems and applications , 1972 .

[22]  Jacques Chazarain,et al.  Introduction to the theory of linear partial differential equations , 1982 .

[23]  About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains , 2008 .

[24]  P. Grisvard.  Elliptic Problems in Nonsmooth Domains , 1985 .