PLANE SYMMETRIC SOLUTIONS FOR THE RADIATING GRAVITATIONAL FIELD

2010 ◽  
Vol 24 (17) ◽  
pp. 1877-1882 ◽  
Author(s):  
MING SHEN
Keyword(s):  
Periodic Solution ◽  
Gravitational Field ◽  
Space Time ◽  
Energy Conditions ◽  
Plane Symmetric ◽  
Physical Phenomena ◽  
Time Periodic ◽  
Time Periodic Solution

In this letter, we present a family of plane symmetric solutions for the radiating gravitational field which satisfy the weak and dominant energy conditions. An example is given according to the general form. We show that the example is a space–time-periodic solution which may have some relations with the new physical phenomena.

A note on the existence of time periodic solution of a superlinear heat equation

2018 ◽  
Vol 98 (13) ◽  
pp. 2454-2463 ◽  
Author(s):  
Haochuan Huang ◽  
Jingxue Yin ◽  
Chunhua Jin
Keyword(s):  
Periodic Solution ◽  
Heat Equation ◽  
Time Periodic ◽  
Time Periodic Solution
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