Multidimensional stability of disturbed pyramidal traveling fronts in the Allen-Cahn equation

Author:

Yuan Rong,Cheng Hongmei

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference27 articles.

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2. Multidimensional nonlinear diffusions arising in population genetics,;D. G. Aronson;Adv. Math,1978

3. Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations,;X. Chen;Adv. Differential Equations,1997

4. Traveling waves with paraboloid like interfaces for balanced bistable dynamics,;X. Chen;Ann. Inst. H. Poincaré Anal. Non Linéaire,2007

5. The approach of solutions of nonlinear diffusion equations to traveling front solutions,;P. C. Fife;Arch. Ration. Mech. Anal.,1977

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