scholarly journals Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation

2020 ◽  
Vol 22 (6) ◽  
pp. 1785-1826
Author(s):  
Tadahiro Oh ◽  
Nikolay Tzvetkov
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Two Dimensional ◽  
Gaussian Measures

scholarly journals On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Wenbin Zhang ◽  
Jiangbo Zhou ◽  
Lixin Tian ◽  
Sunil Kumar
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Smooth Solution ◽  
Two Dimensional

It is shown that ifuis a sufficiently smooth solution to a two-dimensional nonlinear wave equation such that there existsL>0with suppu(i)⊆[−L,L]×[−L,L], fori=0,1, thenu≡0.

scholarly journals Approximate Solution of Two-Dimensional Nonlinear Wave Equation by Optimal Homotopy Asymptotic Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
H. Ullah ◽  
S. Islam ◽  
L. C. C. Dennis ◽  
T. N. Abdelhameed ◽  
I. Khan ◽  
...  
Keyword(s):  
Wave Equation ◽  
Approximate Solution ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Asymptotic Method ◽  
Series Solution ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Two Dimensional ◽  
Optimal Homotopy Asymptotic Method

The two-dimensional nonlinear wave equations are considered. Solution to the problem is approximated by using optimal homotopy asymptotic method (OHAM). The residual and convergence of the proposed method to nonlinear wave equation are presented through graphs. The resultant analytic series solution of the two-dimensional nonlinear wave equation shows the effectiveness of the proposed method. The comparison of results has been made with the existing results available in the literature.

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History
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