Periodic-parabolic eigenvalue problems with a large parameter and degeneration
作者： Daniel Daners , Christopher Thornett
DOI: 10.1016/J.JDE.2016.03.007
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摘要: We consider a periodic-parabolic eigenvalue problem with non-negative potential λm vanishing on non-cylindrical domain Dm satisfying conditions similar to those for the parabolic maximum principle. show that limit as λ→∞ leads having principal and eigenfunction which are unique in some sense. substantially improve result from [Du Peng, Trans. Amer. Math. Soc. 364 (2012), p. 6039–6070]. At same time we offer different approach based initial boundary value problem. The results motivated by an analysis of asymptotic behaviour positive solutions semilinear logistic problems temporal spacial degeneracies.
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