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Multidimensional travelling waves in the monostable case |
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| Affiliation: | 1. Viterbi Faculty of Electrical Engineering, Technion, Israel Institute of Technology, Israel;2. Department of thoracic medicine, Chang Gung Memorial Hospital, Chang Gung University, School of Medicine, Taipei, Taiwan;3. Department of Mathematics, University of Toronto, Ontario, Canada;4. Department of Mathematics and department of statistical science, Duke university, Durham, NC, USA;5. Mathematics Division, National Center for Theoretical Sciences, Taipei, Taiwan |
| Abstract: | We prove existence and stability of multidimensional travelling waves for monotone parabolic systems of equations. We consider the so-called monostable case for which one of the limiting values at infinity is stable with respect to the limiting problem and another one is unstable. |
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