New criteria for the $${H^\infty}$$ H ∞ -calculus and the Stokes operator on bounded Lipschitz domains

Journal of Evolution Equations ◽

10.1007/s00028-016-0360-4 ◽

2016 ◽

Vol 17 (1) ◽

pp. 387-409 ◽

Author(s):

Peer Christian Kunstmann ◽

Lutz Weis

Keyword(s):

Stokes Operator ◽

Lipschitz Domains ◽

Bounded Lipschitz Domains ◽

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The regularity of the Stokes operator and the Fujita–Kato approach to the Navier–Stokes initial value problem in Lipschitz domains

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.11.021 ◽

2008 ◽

Vol 254 (6) ◽

pp. 1522-1574 ◽

Author(s):

Marius Mitrea ◽

Sylvie Monniaux

Keyword(s):

Initial Value Problem ◽

Stokes Operator ◽

Navier Stokes ◽

Lipschitz Domains ◽

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On Uniqueness for the Navier–Stokes System in 3D-Bounded Lipschitz Domains

Journal of Functional Analysis ◽

10.1006/jfan.2002.3902 ◽

2002 ◽

Vol 195 (1) ◽

pp. 1-11 ◽

Author(s):

Sylvie Monniaux

Keyword(s):

Stokes System ◽

Navier Stokes ◽

Lipschitz Domains ◽

Bounded Lipschitz Domains

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On a fractional (s, p)-Dirichlet-to-Neumann operator on bounded Lipschitz domains

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-018-0017-2 ◽

2018 ◽

Vol 4 (1) ◽

pp. 223-269 ◽

Author(s):

Mahamadi Warma

Keyword(s):

Lipschitz Domains ◽

Neumann Operator ◽

Dirichlet To Neumann Operator ◽

Bounded Lipschitz Domains

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Dirichlet-to-Neumann maps on bounded Lipschitz domains

Journal of Differential Equations ◽

10.1016/j.jde.2015.07.012 ◽

2015 ◽

Vol 259 (11) ◽

pp. 5903-5926 ◽

Author(s):

J. Behrndt ◽

A.F.M. ter Elst

Keyword(s):

Lipschitz Domains ◽

Bounded Lipschitz Domains

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A fractional Dirichlet-to-Neumann operator on bounded Lipschitz domains

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2015.14.2043 ◽

2015 ◽

Vol 14 (5) ◽

pp. 2043-2067 ◽

Author(s):

Mahamadi Warma ◽

Keyword(s):

Lipschitz Domains ◽

Neumann Operator ◽

Dirichlet To Neumann Operator ◽

Bounded Lipschitz Domains

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Estimates for the Stokes operator in Lipschitz domains

Indiana University Mathematics Journal ◽

10.1512/iumj.1995.44.2025 ◽

1995 ◽

Vol 44 (4) ◽

pp. 0-0 ◽

Author(s):

Russell M. Brown ◽

Zhongwei Shen

Keyword(s):

Stokes Operator ◽

Lipschitz Domains

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Skorokhod decomposition of reflected diffusions on bounded Lipschitz domains with singular non-reflection part

Probability Theory and Related Fields ◽

10.1007/s00440-003-0296-9 ◽

2003 ◽

Vol 127 (4) ◽

pp. 455-495 ◽

Author(s):

Gerald Trutnau

Keyword(s):

Lipschitz Domains ◽

Reflected Diffusions ◽

Bounded Lipschitz Domains ◽

Skorokhod Decomposition

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Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

Modern Analysis and Applications ◽

10.1007/978-3-7643-9921-4_6 ◽

2009 ◽

pp. 81-113 ◽

Author(s):

Fritz Gesztesy ◽

Marius Mitrea

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Lipschitz Domains ◽

Bounded Lipschitz Domains

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The stokes operator with Neumann boundary conditions in Lipschitz domains

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0400-0 ◽

2011 ◽

Vol 176 (3) ◽

pp. 409-457 ◽

Author(s):

M. Mitrea ◽

S. Monniaux ◽

M. Wright

Keyword(s):

Boundary Conditions ◽

Neumann Boundary ◽

Stokes Operator ◽

Neumann Boundary Conditions ◽

Lipschitz Domains

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On the $$\mathrm {L}^p$$ L p -theory of the Navier–Stokes equations on three-dimensional bounded Lipschitz domains

Mathematische Annalen ◽

10.1007/s00208-018-1653-4 ◽

2018 ◽

Vol 371 (1-2) ◽

pp. 445-460 ◽

Author(s):

Patrick Tolksdorf

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Lipschitz Domains ◽

Navier Stokes Equations ◽

Bounded Lipschitz Domains

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