Wide-angle nonlocal boundary conditions for the parabolic wave equation

A. Zebic-Le Hyaric

doi:10.1109/8.931149

Wide-angle nonlocal boundary conditions for the parabolic wave equation

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.931149 ◽

2001 ◽

Vol 49 (6) ◽

pp. 916-922 ◽

Cited By ~ 8

Author(s):

A. Zebic-Le Hyaric

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Wide Angle

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Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions of 2N‐point type

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7313 ◽

2021 ◽

Author(s):

Nguyen Anh Triet ◽

Le Thi Phuong Ngoc ◽

Alain Pham ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Nonlinear Wave Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Point Type

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Uniqueness theorems for generalized solutions to four mixed problems for the wave equation with nonlocal boundary conditions

Doklady Mathematics ◽

10.1134/s1064562408030113 ◽

2008 ◽

Vol 77 (3) ◽

pp. 361-364 ◽

Cited By ~ 1

Author(s):

V. A. Il’in

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Generalized Solutions ◽

Uniqueness Theorems ◽

Mixed Problems

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Adjoint‐based control of nonlocal boundary conditions for Claerbout’s wide‐angle parabolic approximation

The Journal of the Acoustical Society of America ◽

10.1121/1.4809404 ◽

2005 ◽

Vol 117 (4) ◽

pp. 2576-2576

Author(s):

Matthias Meyer ◽

Jean‐Pierre Hermand

Keyword(s):

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Wide Angle ◽

Parabolic Approximation

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Corrigendum to “Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions of 2N-point type”

10.22541/au.160081270.05214380 ◽

2020 ◽

Author(s):

Nguyen Anh Triet ◽

Le Thi Phuong Ngoc ◽

Alain Pham ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Nonlinear Wave Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Point Type

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Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions

Differential Equations ◽

10.1007/bf02754231 ◽

2000 ◽

Vol 36 (5) ◽

pp. 728-733 ◽

Cited By ~ 3

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Uniqueness Of The Solution

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Existence and Exponential Decay of Solutions for a Wave Equation with Integral Nonlocal Boundary Conditions of Memory Type

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2017.1320672 ◽

2017 ◽

Vol 38 (9) ◽

pp. 1173-1207

Author(s):

Le Thi Phuong Ngoc ◽

Nguyen Anh Triet ◽

Alain Pham Ngoc Dinh ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Exponential Decay ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Decay Of Solutions ◽

Memory Type

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Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions of 2 N ‐point type

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6773 ◽

2020 ◽

Vol 44 (1) ◽

pp. 668-692

Author(s):

Nguyen Anh Triet ◽

Le Thi Phuong Ngoc ◽

Alain Pham Ngoc Dinh ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Nonlinear Wave Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Point Type

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On the stability of a weighted finite difference scheme for wave equation with nonlocal boundary conditions

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2014.3.10 ◽

2014 ◽

Vol 19 (3) ◽

pp. 460-475 ◽

Cited By ~ 3

Author(s):

Jurij Novickij ◽

◽

Artūras Štikonas ◽

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

The Stability

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Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2013.12.2001 ◽

2013 ◽

Vol 12 (5) ◽

pp. 2001-2029 ◽

Cited By ~ 6

Author(s):

Le Thi Phuong Ngoc ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Nonlinear Wave Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions

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Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2017.1289194 ◽

2017 ◽

Vol 25 (12) ◽

pp. 1743-1767 ◽

Cited By ~ 24

Author(s):

Elyas Shivanian ◽

Ahmad Jafarabadi

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Numerical Solution ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Force Function ◽

Two Dimensional ◽

Inverse Force

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