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Strong positivity of continuous supersolutions to parabolic equations with rough boundary data

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  • Parabolic equations given on domains with corners are considered. Under very weak assumption on the coefficients, it will be shown that continuous nonnegative supersolutions are strictly positive.
    Mathematics Subject Classification: 35K65, 35B65.

    Citation:

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  • [1]

    R. S. Cantrell and C. Cosner, Spatial Ecology via Reaction Diffusion Equations, Wiley series in mathematical and computational biology, 2003.doi: 10.1002/0470871296.

    [2]

    O. A. Ladyzenskaja, V. A. Solonnikov and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, AMS Transl. Monographs, vol. 23, 1968.

    [3]

    D. Le and H. Smith, Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains, J. Math. Anal. Appl., 275 (2002), 208-221.doi: 10.1016/S0022-247X(02)00314-1.

    [4]

    H. Smith, Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems, Math. Surveys and Monographs, 41. AMS, Providence, RI, 1995.

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