Relation between the Rayleigh equation in diffraction theory and the equation based on Green’s formula

Journal of the Optical Society of America A ◽

10.1364/josaa.12.001254 ◽

1995 ◽

Vol 12 (6) ◽

pp. 1254 ◽

Author(s):

V. I. Tatarskii

Keyword(s):

Diffraction Theory ◽

Rayleigh Equation ◽

Green’S Formula ◽

Green's Formula

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Green’s Formula and Theorems on Isomorphisms for General Elliptic Problems for Douglis-Nirenberg Elliptic Systems

Differential Operators and Related Topics ◽

10.1007/978-3-0348-8403-7_21 ◽

2000 ◽

pp. 281-299

Author(s):

Inna Roitberg ◽

Yakov Roitberg

Keyword(s):

Elliptic Problems ◽

Elliptic Systems ◽

Green’S Formula ◽

General Elliptic ◽

Green's Formula

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Green's formula for integro-differential operators

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.08.026 ◽

2018 ◽

Vol 468 (1) ◽

pp. 473-479 ◽

Author(s):

Niyaz Tokmagambetov ◽

Berikbol T. Torebek

Keyword(s):

Differential Operators ◽

Green’S Formula ◽

Green's Formula

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I. Green’s Formula and Analytic Continuation

Contributions to the Theory of Partial Differential Equations. (AM-33) ◽

10.1515/9781400882182-002 ◽

1955 ◽

pp. 1-14 ◽

Author(s):

S. Bochner

Keyword(s):

Analytic Continuation ◽

Green’S Formula ◽

Green's Formula

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On Green's Formula for Half-Spaces

Journal of the London Mathematical Society ◽

10.1112/jlms/s1-43.1.539 ◽

1968 ◽

Vol s1-43 (1) ◽

pp. 539-547

Author(s):

Ü Kuran

Keyword(s):

Green’S Formula ◽

Green's Formula

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10 Green's Formula. The Mean Value Theorem and the Maximum Principle for Harmonic Functions. The Poisson Formula. Harnack's Inequalities

Basic Linear Partial Differential Equations - Pure and Applied Mathematics ◽

10.1016/s0079-8169(08)61513-5 ◽

1975 ◽

pp. 77-86

Keyword(s):

Maximum Principle ◽

Harmonic Functions ◽

Mean Value Theorem ◽

Poisson Formula ◽

The Maximum Principle ◽

Green’S Formula ◽

Green's Formula ◽

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Modified Ringel–Hall algebras, Green's formula and derived Hall algebras

Journal of Algebra ◽

10.1016/j.jalgebra.2019.02.009 ◽

2019 ◽

Vol 526 ◽

pp. 81-103 ◽

Author(s):

Ji Lin ◽

Liangang Peng

Keyword(s):

Hall Algebras ◽

Green’S Formula ◽

Green's Formula

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On the use of Green's formula for the solution of the Navier-Stokes equations

Advances in Water Resources ◽

10.1016/0309-1708(91)90002-6 ◽

1991 ◽

Vol 14 (3) ◽

pp. 113-117

Author(s):

C.I. Gheorghiu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Green’S Formula ◽

Green's Formula

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Green’s formula and singularity at a triple contact line. Example of finite-displacement solution

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2013.10.007 ◽

2014 ◽

Vol 51 (2) ◽

pp. 314-324

Author(s):

Juan Olives

Keyword(s):

Contact Line ◽

Green’S Formula ◽

Finite Displacement ◽

Green's Formula

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EXTRINSIC GEOMETRY OF DIFFERENTIAL EQUATIONS AND GREEN'S FORMULA

Mathematics of the USSR-Izvestiya ◽

10.1070/im1990v035n01abeh000685 ◽

1990 ◽

Vol 35 (1) ◽

pp. 37-60

Author(s):

V V Zharinov

Keyword(s):

Differential Equations ◽

Green’S Formula ◽

Extrinsic Geometry ◽

Green's Formula

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A Geometrical Interpretation of Green's Formula

American Mathematical Monthly ◽

10.2307/2973486 ◽

1915 ◽

Vol 22 (5) ◽

pp. 152

Author(s):

W. V. Lovitt

Keyword(s):

Geometrical Interpretation ◽

Green’S Formula ◽

Green's Formula

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