An improved method for verifying the existence and bounds of the inverse of second-order linear elliptic operators mapping to dual space

Yoshitaka Watanabe; Takehiko Kinoshita; Mitsuhiro T. Nakao

doi:10.1007/s13160-019-00344-8

An improved method for verifying the existence and bounds of the inverse of second-order linear elliptic operators mapping to dual space

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-019-00344-8 ◽

2019 ◽

Vol 36 (2) ◽

pp. 407-420 ◽

Cited By ~ 2

Author(s):

Yoshitaka Watanabe ◽

Takehiko Kinoshita ◽

Mitsuhiro T. Nakao

Keyword(s):

Dual Space ◽

Elliptic Operators ◽

Second Order ◽

Improved Method ◽

Order Linear

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Realisations of Second-Order Linear Elliptic Operators

Springer Monographs in Mathematics - Elliptic Differential Operators and Spectral Analysis ◽

10.1007/978-3-030-02125-2_7 ◽

2018 ◽

pp. 159-202

Author(s):

David E. Edmunds ◽

W. Desmond Evans

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Order Linear

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Some facts about second-order linear elliptic operators

Graduate Studies in Mathematics - Geometric Relativity ◽

10.1090/gsm/201/10 ◽

2019 ◽

pp. 301-341

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Order Linear

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Some improvements of invertibility verifications for second-order linear elliptic operators

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.03.016 ◽

2020 ◽

Vol 154 ◽

pp. 36-46

Author(s):

Yoshitaka Watanabe ◽

Takehiko Kinoshita ◽

Mitsuhiro T. Nakao

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Order Linear

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About the G-compactness of certain classes of second-order elliptic operators

Daghestan Electronic Mathematical Reports ◽

10.31029/demr.10.1 ◽

2018 ◽

pp. 1-12

Author(s):

Magomed Sirazhudinov ◽

Saida Dzhamaludinova

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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Canonical forms and discrete Liouville–Green asymptotics for second-order linear difference equations

Advances in Difference Equations ◽

10.1186/s13662-019-2293-z ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Renato Spigler

Keyword(s):

Difference Equations ◽

Second Order ◽

Canonical Forms ◽

Linear Difference Equations ◽

Order Linear

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Bases for Second Order Linear ODEs

American Mathematical Monthly ◽

10.1080/00029890.2020.1803626 ◽

2020 ◽

Vol 127 (9) ◽

pp. 849-849

Author(s):

Peter McGrath

Keyword(s):

Second Order ◽

Order Linear ◽

Linear Odes

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Asymptotic approximations for second-order linear difference equations in Banach algebras, II

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.08.012 ◽

2008 ◽

Vol 340 (1) ◽

pp. 433-450 ◽

Cited By ~ 3

Author(s):

Tania Soldà ◽

Renato Spigler ◽

Marco Vianello

Keyword(s):

Difference Equations ◽

Banach Algebras ◽

Second Order ◽

Asymptotic Approximations ◽

Linear Difference Equations ◽

Order Linear

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Second order linear parabolic equations in uniform spaces in $${\varvec{\mathbb {R}^{N}}}$$ R N

Revista Matemática Complutense ◽

10.1007/s13163-016-0215-0 ◽

2016 ◽

Vol 30 (1) ◽

pp. 63-78

Author(s):

Carlos Quesada ◽

Aníbal Rodríguez-Bernal

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Uniform Spaces ◽

Order Linear ◽

Linear Parabolic Equations

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A computer program to find analytical solutions of second order linear differential equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620060420 ◽

1973 ◽

Vol 6 (4) ◽

pp. 603-606

Author(s):

S. J. Farlow

Keyword(s):

Differential Equations ◽

Computer Program ◽

Analytical Solutions ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential

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The geometry of second order linear partial differential operators

Communications in Partial Differential Equations ◽

10.1080/03605308308820280 ◽

1983 ◽

Vol 8 (6) ◽

pp. 643-665 ◽

Cited By ~ 1

Author(s):

Gregory A. Fredricks

Keyword(s):

Differential Operators ◽

Second Order ◽

Partial Differential ◽

Order Linear ◽

Partial Differential Operators ◽

Linear Partial Differential Operators

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