SOME ENTIRE SOLUTIONS OF THE ALLEN–CAHN EQUATION

By Yuki Fukao, Y. Morita, H. Ninomiya. 2004

104 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/27894d2a936ebc4d1d9d9db313e2d32cca191d47

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Zhi-Cheng Wang
2. Xinfu Chen
3. Wan-Tong Li
4. Jong-Shenq Guo
5. Jianhong Wu
6. Shiwang Ma
7. Wenxian Shen
8. Xingfu Zou

Citations in the corpus

• Existence and uniqueness of entire solutions for a reaction-diffusion equation (2005, background): “In [15–18,23], entire solutions which behave as two (opposite) wave fronts of positive speed(s) approaching each other from both sides of the x-axis and then annihilating in a finite time are constructed.”
• Entire solutions in reaction-advection-diffusion equations in cylinders (2008, unknown): “[15], Guo and Morita [16], Hamel and Nadirashvili [18,19], Li et al.”
• Entire solutions in monostable reaction-diffusion equations with delayed nonlinearity (2008, background): “[10], Guo and Morita [13], Hamel and Nadirashvili [14,15], Morita and Ninomiya [20] and Yagisita [38] show the great diversity of different types of entire solutions of reaction–diffusion equations in the absence of time delay.”