dc.contributor.author | Himonas, A. Alexandrou | |
dc.contributor.author | Mantzavinos, Dionyssios | |
dc.contributor.author | Yan, Fangchi | |
dc.date.accessioned | 2021-04-12T20:45:18Z | |
dc.date.available | 2021-04-12T20:45:18Z | |
dc.date.issued | 2019-08-27 | |
dc.identifier.citation | A. Alexandrou Himonas, Dionyssios Mantzavinos, and Fangchi Yan , "Initial-boundary value problems for a reaction-diffusion equation", Journal of Mathematical Physics 60, 081509 (2019) https://doi.org/10.1063/1.5118767 | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/31590 | |
dc.description | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in J. Math. Phys. 60, 081509 (2019); doi: 10.1063/1.5118767 and may be found at https://aip.scitation.org/doi/10.1063/1.5118767. | en_US |
dc.description.abstract | A novel approach that utilizes Fokas’s unified transform is employed for studying a reaction-diffusion equation with power nonlinearity formulated either on the half-line or on a finite interval with data in Sobolev spaces. This approach was recently introduced for initial-boundary value problems involving dispersive nonlinear equations such as the nonlinear Schrödinger and the Korteweg-de Vries equations. Thus, the present work extends the new approach from dispersive equations to diffusive ones, demonstrating the universality of the unified transform in the analysis of nonlinear evolution equations on domains with a boundary. | en_US |
dc.publisher | American Institute of Physics | en_US |
dc.rights | © 2019 Author(s). Published under license by AIP Publishing. | en_US |
dc.title | Initial-boundary value problems for a reaction-diffusion equation | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Mantzavinos, Dionyssios | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1063/1.5118767 | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-0818-4700 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess | en_US |