Huygens’ principle and the bispectral problem

1998 ◽  
pp. 11-30 ◽  
Author(s):  
Yuri Berest
Keyword(s):  
Bispectral Problem ◽  
Huygens Principle

scholarly journals Applications of cone structures to the anisotropic rheonomic Huygens’ principle

2021 ◽  
Vol 209 ◽  
pp. 112337
Author(s):  
Miguel Ángel Javaloyes ◽  
Enrique Pendás-Recondo ◽  
Miguel Sánchez
Keyword(s):  
Huygens Principle

scholarly journals Generalized Huygens' principle for a reduced gravity two and a half layer model in dimension three

2017 ◽  
Vol 10 (4) ◽  
pp. 1205-1233
Author(s):  
Zhigang Wu ◽  
◽  
Weike Wang ◽  
Keyword(s):  
Reduced Gravity ◽  
Layer Model ◽  
Huygens Principle

POINTWISE ESTIMATES FOR THE WAVE EQUATION WITH DISSIPATION IN ODD SPATIAL DIMENSION

2008 ◽  
Vol 05 (02) ◽  
pp. 477-486 ◽  
Author(s):  
HONGMEI XU ◽  
WEIKE WANG
Keyword(s):  
Wave Equation ◽  
Large Time ◽  
Pointwise Estimate ◽  
Spatial Dimension ◽  
Large Time Behavior ◽  
Time Behavior ◽  
The Cauchy Problem ◽  
Explicit Analysis ◽  
Huygens Principle ◽  
The Green Function

We study the pointwise estimate of solution to the Cauchy problem for the wave equation with viscosity in odd spatial dimension. Through the explicit analysis of the Green function, we obtain the large time behavior of solution, and the solution exhibit the generalized Huygens principle.

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