Homogenization of Periodic Differential Operators as a Spectral Threshold Effect

New Trends in Mathematical Physics ◽

10.1007/978-90-481-2810-5_44 ◽

2009 ◽

pp. 667-683

Author(s):

Mikhail S. Birman ◽

Tatiana A. Suslina

Keyword(s):

Differential Operators ◽

Threshold Effect ◽

Periodic Differential Operators

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The Limiting Absorption Principle for Periodic Differential Operators and Applications to Nonlinear Helmholtz Equations

Communications in Mathematical Physics ◽

10.1007/s00220-019-03363-1 ◽

2019 ◽

Vol 368 (2) ◽

pp. 799-842 ◽

Author(s):

Rainer Mandel

Keyword(s):

Differential Operators ◽

Helmholtz Equations ◽

Limiting Absorption Principle ◽

Periodic Differential Operators ◽

Nonlinear Helmholtz Equations

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Spectral theory of second-order almost periodic differential operators and its relation to classes of nonlinear evolution equations

Il Nuovo Cimento B ◽

10.1007/bf02732870 ◽

1984 ◽

Vol 82 (2) ◽

pp. 125-168 ◽

Author(s):

R. Giachetti ◽

R. Johnson

Keyword(s):

Spectral Theory ◽

Evolution Equations ◽

Differential Operators ◽

Nonlinear Evolution ◽

Second Order ◽

Nonlinear Evolution Equations ◽

Almost Periodic ◽

Periodic Differential Operators

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Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-07-00977-6 ◽

2007 ◽

Vol 18 (06) ◽

pp. 857-956 ◽

Author(s):

M. Sh. Birman ◽

T. A. Suslina

Keyword(s):

Differential Operators ◽

Sobolev Class ◽

Periodic Differential Operators

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Homogenization of periodic differential operators of high order

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-2011-01166-5 ◽

2011 ◽

Vol 22 (5) ◽

pp. 751-775 ◽

Author(s):

N. Veniaminov

Keyword(s):

Differential Operators ◽

Periodic Differential Operators

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Operators commuting with translation by one Part III perturbation results for periodic differential operators

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(65)90033-8 ◽

1965 ◽

Vol 12 (2) ◽

pp. 187-234 ◽

Author(s):

D.C McGarvey

Keyword(s):

Differential Operators ◽

Periodic Differential Operators

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Threshold Effects near the Lower Edge of the Spectrum for Periodic Differential Operators of Mathematical Physics

Systems, Approximation, Singular Integral Operators, and Related Topics ◽

10.1007/978-3-0348-8362-7_4 ◽

2001 ◽

pp. 71-107 ◽

Author(s):

Michael Birman ◽

Tatyana Suslina

Keyword(s):

Differential Operators ◽

Mathematical Physics ◽

Threshold Effects ◽

Periodic Differential Operators

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Spectral expansion series with parenthesis for the nonself-adjoint periodic differential operators

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2019020 ◽

2019 ◽

Vol 18 (1) ◽

pp. 397-424 ◽

Author(s):

Oktay Veliev ◽

Keyword(s):

Differential Operators ◽

Spectral Expansion ◽

Expansion Series ◽

Periodic Differential Operators

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Periodic Differential Operators

10.1007/978-3-0348-0528-5 ◽

2013 ◽

Author(s):

B. Malcolm Brown ◽

Michael S.P. Eastham ◽

Karl Michael Schmidt

Keyword(s):

Differential Operators ◽

Periodic Differential Operators

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The regularity of almost-periodic differential operators of neutral type appearing in the averaging principle

Ukrainian Mathematical Journal ◽

10.1007/bf01095212 ◽

1977 ◽

Vol 28 (5) ◽

pp. 513-518

Author(s):

R. R. Akhmerov

Keyword(s):

Differential Operators ◽

Neutral Type ◽

Averaging Principle ◽

Almost Periodic ◽

Periodic Differential Operators

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Eigenfunction expansions associated with one-dimensional periodic differential operators of order 2n

Functional Analysis and Its Applications ◽

10.1007/s10688-007-0005-z ◽

2007 ◽

Vol 41 (1) ◽

pp. 54-72 ◽

Author(s):

V. Tkachenko

Keyword(s):

Differential Operators ◽

Eigenfunction Expansions ◽

One Dimensional ◽

Periodic Differential Operators

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