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

M. S. Agranovich

doi:10.1002/mana.201500411

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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Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces H p σ and B p σ

Functional Analysis and Its Applications ◽

10.1007/s10688-008-0039-x ◽

2008 ◽

Vol 42 (4) ◽

pp. 249-267 ◽

Cited By ~ 10

Author(s):

M. S. Agranovich

Keyword(s):

Boundary Value Problems ◽

Banach Spaces ◽

Boundary Value ◽

Elliptic Systems ◽

Lipschitz Domains ◽

Spectral Boundary Value Problems

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Existence of solutions to impulsive fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and state dependent delay

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2021.91135 ◽

2021 ◽

Vol 9 (1) ◽

pp. 31-56

Author(s):

D. N. Chalishajar ◽

D. Senthil Raja ◽

P. Sundararajan ◽

K. Karthikeyan

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Existence Of Solutions ◽

Sobolev Type ◽

State Dependent ◽

State Dependent Delay

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SOBOLEV TYPE INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION IN BANACH SPACES

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500407525 ◽

2003 ◽

Vol 7 (1) ◽

pp. 155-163 ◽

Cited By ~ 5

Author(s):

K. Balachandran ◽

J.Y. Park

Keyword(s):

Banach Spaces ◽

Integrodifferential Equation ◽

Nonlocal Condition ◽

Sobolev Type

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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 ◽

Cited By ~ 57

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 ◽

Cited By ~ 1

Author(s):

Craig D. Collins ◽

Justin L. Taylor

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains

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Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains

Russian Mathematical Surveys ◽

10.1070/rm2002v057n05abeh000552 ◽

2002 ◽

Vol 57 (5) ◽

pp. 847-920 ◽

Cited By ~ 18

Author(s):

M S Agranovich

Keyword(s):

Elliptic Systems ◽

Second Order ◽

Spectral Problems

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Incomplete Sobolev type equations of higher order with "white noise" in quasi-Banach spaces

Applied Mathematical Sciences ◽

10.12988/ams.2016.6249 ◽

2016 ◽

Vol 10 ◽

pp. 1811-1819

Author(s):

Alyona A. Zamyshlyaeva ◽

Evgeniy V. Bychkov ◽

Olga N. Tsyplenkova

Keyword(s):

White Noise ◽

Banach Spaces ◽

Higher Order ◽

Sobolev Type

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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 ◽

Cited By ~ 6

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 ◽

Cited By ~ 4

Author(s):

M. S. Agranovich

Keyword(s):

Elliptic Systems ◽

Lipschitz Domains

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