Abstract
This paper is concerned with planar traveling wavefronts of mono-stable reaction-diffusion equations in \mathbb{R}^n ( n\geq2 ). We show that the large time behavior of the disturbed fronts can be controlled by two functions, which are the solutions of the specified nonlinear parabolic equations in \mathbb{R}^{n-1} , and the planar traveling fronts are asymptotically stable in L^\infty(\mathbb{R}^n) under ergodic perturbations, which include quasi-periodic and almost periodic ones as special cases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
