Asymptotic Profiles of Solutions and Propagating Terrace for a Free Boundary Problem of Nonlinear Diffusion Equation with Positive Bistable Nonlinearity
Asymptotic Profiles of Solutions and Propagating Terrace for a Free Boundary Problem of Nonlinear Diffusion Equation with Positive Bistable Nonlinearity
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DOI:
10.1137/18m1209970
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发表时间:
2020-01
期刊:
影响因子:
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通讯作者:
Y. Kaneko;H. Matsuzawa;Yoshio Yamada
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文献类型:
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作者:
Y. Kaneko;H. Matsuzawa;Yoshio Yamada
We will study a free boundary problem of nonlinear diffusion equation $u_t=u_{xx}+f(u),t>0, 0<x<h(t)$, with free boundary $h(t)$, which describes the spreading of a new or invasive species. When $f...