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    Initial-boundary value problems for a reaction-diffusion equation

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    Mantzavinos_1.5118767.pdf (1.378Mb)
    Issue Date
    2019-08-27
    Author
    Himonas, A. Alexandrou
    Mantzavinos, Dionyssios
    Yan, Fangchi
    Publisher
    American Institute of Physics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Rights
    © 2019 Author(s). Published under license by AIP Publishing.
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    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.
    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.
    URI
    http://hdl.handle.net/1808/31590
    DOI
    https://doi.org/10.1063/1.5118767
    Collections
    • Mathematics Scholarly Works [283]
    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

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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