Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.10.045 ◽

2013 ◽

Vol 400 (1) ◽

pp. 48-67 ◽

Author(s):

Sergey E. Mikhailov

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains ◽

Solution Regularity ◽

Smooth Coefficients

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

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.12.027 ◽

2011 ◽

Vol 378 (1) ◽

pp. 324-342 ◽

Author(s):

Sergey E. Mikhailov

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains

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The Spaces $${H}^{{s}}$$ H s and Second-Order Strongly Elliptic Systems in Lipschitz Domains

Springer Monographs in Mathematics - Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains ◽

10.1007/978-3-319-14648-5_3 ◽

2015 ◽

pp. 111-192

Author(s):

Mikhail S. Agranovich

Keyword(s):

Elliptic Systems ◽

Second Order ◽

Lipschitz Domains

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Eigenvalue convergence on perturbed Lipschitz domains for elliptic systems with mixed general decompositions of the boundary

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.027 ◽

2018 ◽

Vol 265 (12) ◽

pp. 6187-6209 ◽

Author(s):

Craig D. Collins ◽

Justin L. Taylor

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains

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Spectral problems in Sobolev-type Banach spaces for strongly elliptic systems in Lipschitz domains

Mathematische Nachrichten ◽

10.1002/mana.201500411 ◽

2016 ◽

Vol 289 (16) ◽

pp. 1968-1985

Author(s):

M. S. Agranovich

Keyword(s):

Banach Spaces ◽

Elliptic Systems ◽

Lipschitz Domains ◽

Sobolev Type ◽

Spectral Problems

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Lp resolvent estimates for constant coefficient elliptic systems on Lipschitz domains

Journal of Functional Analysis ◽

10.1016/j.jfa.2014.08.010 ◽

2014 ◽

Vol 267 (9) ◽

pp. 3262-3293 ◽

Author(s):

Wei Wei ◽

Zhenqiu Zhang

Keyword(s):

Constant Coefficient ◽

Elliptic Systems ◽

Lipschitz Domains ◽

Resolvent Estimates

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Remarks on strongly elliptic systems in Lipschitz domains

Russian Journal of Mathematical Physics ◽

10.1134/s1061920812040012 ◽

2012 ◽

Vol 19 (4) ◽

pp. 405-416 ◽

Author(s):

M. S. Agranovich

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains

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The dirichlet problem in lipschitz domains for higher order elliptic systems with rough coefficients

Journal d Analyse Mathématique ◽

10.1007/s11854-010-0005-4 ◽

2010 ◽

Vol 110 (1) ◽

pp. 167-239 ◽

Author(s):

Vladimir. Maz’ya ◽

Marius Mitrea ◽

Tatyana Shaposhnikova

Keyword(s):

Dirichlet Problem ◽

Elliptic Systems ◽

Higher Order ◽

Lipschitz Domains ◽

Rough Coefficients

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Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains

Nonlinear Equations and Spectral Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/220/02 ◽

2007 ◽

pp. 27-44

Author(s):

M. Sh. Birman ◽

N. D. Filonov

Keyword(s):

Lipschitz Domains ◽

Maxwell Operator ◽

Weyl Asymptotics ◽

Smooth Coefficients

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Weighted estimates for elliptic systems on Lipschitz domains

Indiana University Mathematics Journal ◽

10.1512/iumj.2006.55.2558 ◽

2006 ◽

Vol 55 (3) ◽

pp. 1135-1154 ◽

Author(s):

Zhongwei Shen

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains ◽

Weighted Estimates

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Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains

American Journal of Mathematics ◽

10.1353/ajm.2003.0035 ◽

2003 ◽

Vol 125 (5) ◽

pp. 1079-1115 ◽

Author(s):

Zhongwei Shen

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Systems ◽

Morrey Spaces ◽

Lipschitz Domains

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